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101,120

101,120 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.).
Abundant Number Frugal Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
21,101
Recamán's sequence
a(98,559) = 101,120
Square (n²)
10,225,254,400
Cube (n³)
1,033,977,724,928,000
Divisor count
36
σ(n) — sum of divisors
245,280
φ(n) — Euler's totient
39,936
Sum of prime factors
100

Primality

Prime factorization: 2 8 × 5 × 79

Nearest primes: 101,119 (−1) · 101,141 (+21)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 79 · 80 · 128 · 158 · 160 · 256 · 316 · 320 · 395 · 632 · 640 · 790 · 1264 · 1280 · 1580 · 2528 · 3160 · 5056 · 6320 · 10112 · 12640 · 20224 · 25280 · 50560 (half) · 101120
Aliquot sum (sum of proper divisors): 144,160
Factor pairs (a × b = 101,120)
1 × 101120
2 × 50560
4 × 25280
5 × 20224
8 × 12640
10 × 10112
16 × 6320
20 × 5056
32 × 3160
40 × 2528
64 × 1580
79 × 1280
80 × 1264
128 × 790
158 × 640
160 × 632
256 × 395
316 × 320
First multiples
101,120 · 202,240 (double) · 303,360 · 404,480 · 505,600 · 606,720 · 707,840 · 808,960 · 910,080 · 1,011,200

Sums & aliquot sequence

As consecutive integers: 20,222 + 20,223 + 20,224 + 20,225 + 20,226 1,241 + 1,242 + … + 1,319 59 + 60 + … + 453
Aliquot sequence: 101,120 144,160 223,256 251,944 338,456 296,164 284,444 259,876 194,914 104,714 56,314 30,554 15,280 20,432 19,186 10,298 6,022 — unresolved within range

Continued fraction of √n

√101,120 = [317; (1, 157, 1, 634)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand one hundred twenty
Ordinal
101120th
Binary
11000101100000000
Octal
305400
Hexadecimal
0x18B00
Base64
AYsA
One's complement
4,294,866,175 (32-bit)
Scientific notation
1.0112 × 10⁵
In other bases
ternary (3) 12010201012
quaternary (4) 120230000
quinary (5) 11213440
senary (6) 2100052
septenary (7) 600545
nonary (9) 163635
undecimal (11) 69a78
duodecimal (12) 4a628
tridecimal (13) 37046
tetradecimal (14) 28bcc
pentadecimal (15) 1ee65

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ραρκʹ
Mayan (base 20)
𝋬·𝋬·𝋰·𝋠
Chinese
一十萬一千一百二十
Chinese (financial)
壹拾萬壹仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٠١١٢٠ Devanagari १०११२० Bengali ১০১১২০ Tamil ௧௦௧௧௨௦ Thai ๑๐๑๑๒๐ Tibetan ༡༠༡༡༢༠ Khmer ១០១១២០ Lao ໑໐໑໑໒໐ Burmese ၁၀၁၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101120, here are decompositions:

  • 3 + 101117 = 101120
  • 7 + 101113 = 101120
  • 13 + 101107 = 101120
  • 31 + 101089 = 101120
  • 139 + 100981 = 101120
  • 163 + 100957 = 101120
  • 193 + 100927 = 101120
  • 373 + 100747 = 101120

Showing the first eight; more decompositions exist.

Unicode codepoint
𘬀
Khitan Small Script Character-18B00
U+18B00
Other letter (Lo)

UTF-8 encoding: F0 98 AC 80 (4 bytes).

Hex color
#018B00
RGB(1, 139, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.139.0.

Address
0.1.139.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.139.0

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 101,120 and was likely granted around 1870.

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

Position in π

The digit sequence 101120 first appears in π at position 100,215 of the decimal expansion (the 100,215ordinal-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.