Live analysis

100,122

100,122 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

100,122 (one hundred thousand one hundred twenty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 11 × 37 × 41. Its proper divisors sum to 129,702, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1871A.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Practical Number Self Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

100,110 100,111 100,112 100,113 100,114 100,115 100,116 100,117 100,118 100,119 100,120 100,121 100,122 100,123 100,124 100,125 100,126 100,127 100,128 100,129 100,130 100,131 100,132 100,133 100,134

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 221,001
Square (n²): 10,024,414,884
Cube (n³): 1,003,664,467,015,848
Divisor count: 32
σ(n) — sum of divisors: 229,824
φ(n) — Euler's totient: 28,800
Sum of prime factors: 94

Primality

Prime factorization: 2 × 3 × 11 × 37 × 41

Nearest primes: 100,109 (−13) · 100,129 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 11 · 22 · 33 · 37 · 41 · 66 · 74 · 82 · 111 · 123 · 222 · 246 · 407 · 451 · 814 · 902 · 1221 · 1353 · 1517 · 2442 · 2706 · 3034 · 4551 · 9102 · 16687 · 33374 · 50061 (half) · 100122

Aliquot sum (sum of proper divisors): 129,702

Factor pairs (a × b = 100,122)

1 × 100122

2 × 50061

3 × 33374

6 × 16687

11 × 9102

22 × 4551

33 × 3034

37 × 2706

41 × 2442

66 × 1517

74 × 1353

82 × 1221

111 × 902

123 × 814

222 × 451

246 × 407

First multiples

100,122 · 200,244 (double) · 300,366 · 400,488 · 500,610 · 600,732 · 700,854 · 800,976 · 901,098 · 1,001,220

Sums & aliquot sequence

As consecutive integers: 33,373 + 33,374 + 33,375 25,029 + 25,030 + 25,031 + 25,032 9,097 + 9,098 + … + 9,107 8,338 + 8,339 + … + 8,349

Aliquot sequence: 100,122 → 129,702 → 129,714 → 149,838 → 194,898 → 230,478 → 236,082 → 371,310 → 519,906 → 535,038 → 688,002 → 884,670 → 1,298,658 → 1,325,598 → 1,325,610 → 2,762,838 → 3,684,330 — unresolved within range

Continued fraction of √n

√100,122 = [316; (2, 2, 1, 1, 1, 5, 1, 1, 2, 1, 14, 1, 2, 1, 1, 5, 1, 1, 1, 2, 2, 632)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one hundred thousand one hundred twenty-two
Ordinal: 100122nd
Binary: 11000011100011010
Octal: 303432
Hexadecimal: 0x1871A
Base64: AYca
One's complement: 4,294,867,173 (32-bit)
Scientific notation: 1.00122 × 10⁵
As a duration: 100,122 s = 1 day, 3 hours, 48 minutes, 42 seconds

In other bases

ternary (3) 12002100020

quaternary (4) 120130122

quinary (5) 11200442

senary (6) 2051310

septenary (7) 564621

nonary (9) 162306

undecimal (11) 69250

duodecimal (12) 49b36

tridecimal (13) 36759

tetradecimal (14) 286b8

pentadecimal (15) 1e9ec

As an angle

100,122° = 278 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓍢𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρρκβʹ
Mayan (base 20): 𝋬·𝋪·𝋦·𝋢
Chinese: 一十萬零一百二十二
Chinese (financial): 壹拾萬零壹佰貳拾貳

In other modern scripts

Eastern Arabic ١٠٠١٢٢ Devanagari १००१२२ Bengali ১০০১২২ Tamil ௧௦௦௧௨௨ Thai ๑๐๐๑๒๒ Tibetan ༡༠༠༡༢༢ Khmer ១០០១២២ Lao ໑໐໐໑໒໒ Burmese ၁၀၀၁၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100122, here are decompositions:

13 + 100109 = 100122
19 + 100103 = 100122
53 + 100069 = 100122
73 + 100049 = 100122
79 + 100043 = 100122
103 + 100019 = 100122
131 + 99991 = 100122
151 + 99971 = 100122

Showing the first eight; more decompositions exist.

Unicode codepoint

𘜚

Tangut Ideograph-1871A

U+1871A

Other letter (Lo)

UTF-8 encoding: F0 98 9C 9A (4 bytes).

Lookup U+1871A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01871A

RGB(1, 135, 26)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.135.26.

Address: 0.1.135.26
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.135.26

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 100,122 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US100,122 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 100122 first appears in π at position 770,258 of the decimal expansion (the 770,258ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 100122 on Pi Search ↗