Live analysis

122,100

122,100 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.).

122,100 (one hundred twenty-two thousand one hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5² × 11 × 37. Its proper divisors sum to 273,708, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DCF4.

Abundant Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

122,088 122,089 122,090 122,091 122,092 122,093 122,094 122,095 122,096 122,097 122,098 122,099 122,100 122,101 122,102 122,103 122,104 122,105 122,106 122,107 122,108 122,109 122,110 122,111 122,112

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 1,221
Square (n²): 14,908,410,000
Cube (n³): 1,820,316,861,000,000
Divisor count: 72
σ(n) — sum of divisors: 395,808
φ(n) — Euler's totient: 28,800
Sum of prime factors: 65

Primality

Prime factorization: 2 ² × 3 × 5 ² × 11 × 37

Nearest primes: 122,099 (−1) · 122,117 (+17)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 11 · 12 · 15 · 20 · 22 · 25 · 30 · 33 · 37 · 44 · 50 · 55 · 60 · 66 · 74 · 75 · 100 · 110 · 111 · 132 · 148 · 150 · 165 · 185 · 220 · 222 · 275 · 300 · 330 · 370 · 407 · 444 · 550 · 555 · 660 · 740 · 814 · 825 · 925 · 1100 · 1110 · 1221 · 1628 · 1650 · 1850 · 2035 · 2220 · 2442 · 2775 · 3300 · 3700 · 4070 · 4884 · 5550 · 6105 · 8140 · 10175 · 11100 · 12210 · 20350 · 24420 · 30525 · 40700 · 61050 (half) · 122100

Aliquot sum (sum of proper divisors): 273,708

Factor pairs (a × b = 122,100)

1 × 122100

2 × 61050

3 × 40700

4 × 30525

5 × 24420

6 × 20350

10 × 12210

11 × 11100

12 × 10175

15 × 8140

20 × 6105

22 × 5550

25 × 4884

30 × 4070

33 × 3700

37 × 3300

44 × 2775

50 × 2442

55 × 2220

60 × 2035

66 × 1850

74 × 1650

75 × 1628

100 × 1221

110 × 1110

111 × 1100

132 × 925

148 × 825

150 × 814

165 × 740

185 × 660

220 × 555

222 × 550

275 × 444

300 × 407

330 × 370

First multiples

122,100 · 244,200 (double) · 366,300 · 488,400 · 610,500 · 732,600 · 854,700 · 976,800 · 1,098,900 · 1,221,000

Sums & aliquot sequence

As consecutive integers: 40,699 + 40,700 + 40,701 24,418 + 24,419 + 24,420 + 24,421 + 24,422 15,259 + 15,260 + … + 15,266 11,095 + 11,096 + … + 11,105

Aliquot sequence: 122,100 → 273,708 → 418,256 → 392,146 → 196,076 → 147,064 → 138,056 → 120,814 → 66,746 → 37,798 → 18,902 → 11,674 → 7,226 → 3,616 → 3,566 → 1,786 → 1,094 — unresolved within range

Continued fraction of √n

√122,100 = [349; (2, 2, 1, 42, 1, 26, 1, 42, 1, 2, 2, 698)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty-two thousand one hundred
Ordinal: 122100th
Binary: 11101110011110100
Octal: 356364
Hexadecimal: 0x1DCF4
Base64: Adz0
One's complement: 4,294,845,195 (32-bit)
Scientific notation: 1.221 × 10⁵
As a duration: 122,100 s = 1 day, 9 hours, 55 minutes

In other bases

ternary (3) 20012111020

quaternary (4) 131303310

quinary (5) 12401400

senary (6) 2341140

septenary (7) 1015656

nonary (9) 205436

undecimal (11) 83810

duodecimal (12) 5a7b0

tridecimal (13) 43764

tetradecimal (14) 326d6

pentadecimal (15) 262a0

As an angle

122,100° = 339 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓍢
Greek (Milesian): ͵ρκβρʹ
Mayan (base 20): 𝋯·𝋥·𝋥·𝋠
Chinese: 一十二萬二千一百
Chinese (financial): 壹拾貳萬貳仟壹佰

In other modern scripts

Eastern Arabic ١٢٢١٠٠ Devanagari १२२१०० Bengali ১২২১০০ Tamil ௧௨௨௧௦௦ Thai ๑๒๒๑๐๐ Tibetan ༡༢༢༡༠༠ Khmer ១២២១០០ Lao ໑໒໒໑໐໐ Burmese ၁၂၂၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122100, here are decompositions:

19 + 122081 = 122100
31 + 122069 = 122100
47 + 122053 = 122100
59 + 122041 = 122100
61 + 122039 = 122100
67 + 122033 = 122100
71 + 122029 = 122100
73 + 122027 = 122100

Showing the first eight; more decompositions exist.

Hex color

#01DCF4

RGB(1, 220, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.244.

Address: 0.1.220.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.220.244

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 122,100 and was likely granted around 1871.

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

Look up US122,100 on Google Patents ↗ Look up on USPTO ↗