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122,142

122,142 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.).

122,142 (one hundred twenty-two thousand one hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 20,357. Its proper divisors sum to 122,154, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD1E.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
32
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
241,221
Square (n²)
14,918,668,164
Cube (n³)
1,822,195,966,887,288
Divisor count
8
σ(n) — sum of divisors
244,296
φ(n) — Euler's totient
40,712
Sum of prime factors
20,362

Primality

Prime factorization: 2 × 3 × 20357

Nearest primes: 122,131 (−11) · 122,147 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 20357 · 40714 · 61071 (half) · 122142
Aliquot sum (sum of proper divisors): 122,154
Factor pairs (a × b = 122,142)
1 × 122142
2 × 61071
3 × 40714
6 × 20357
First multiples
122,142 · 244,284 (double) · 366,426 · 488,568 · 610,710 · 732,852 · 854,994 · 977,136 · 1,099,278 · 1,221,420

Sums & aliquot sequence

As consecutive integers: 40,713 + 40,714 + 40,715 30,534 + 30,535 + 30,536 + 30,537 10,173 + 10,174 + … + 10,184
Aliquot sequence: 122,142 122,154 122,166 167,058 194,940 445,140 905,664 1,563,216 2,618,064 4,709,282 2,354,644 1,824,524 1,634,176 1,817,504 2,278,504 1,993,706 1,520,182 — unresolved within range

Continued fraction of √n

√122,142 = [349; (2, 20, 1, 2, 7, 5, 1, 1, 1, 3, 1, 1, 3, 2, 5, 3, 2, 3, 1, 1, 14, 3, 4, 10, …)]

Representations

In words
one hundred twenty-two thousand one hundred forty-two
Ordinal
122142nd
Binary
11101110100011110
Octal
356436
Hexadecimal
0x1DD1E
Base64
Ad0e
One's complement
4,294,845,153 (32-bit)
Scientific notation
1.22142 × 10⁵
As a duration
122,142 s = 1 day, 9 hours, 55 minutes, 42 seconds
In other bases
ternary (3) 20012112210
quaternary (4) 131310132
quinary (5) 12402032
senary (6) 2341250
septenary (7) 1016046
nonary (9) 205483
undecimal (11) 83849
duodecimal (12) 5a826
tridecimal (13) 43797
tetradecimal (14) 32726
pentadecimal (15) 262cc

As an angle

122,142° = 339 × 360° + 102°
102° ≈ 1.78 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκβρμβʹ
Mayan (base 20)
𝋯·𝋥·𝋧·𝋢
Chinese
一十二萬二千一百四十二
Chinese (financial)
壹拾貳萬貳仟壹佰肆拾貳
In other modern scripts
Eastern Arabic ١٢٢١٤٢ Devanagari १२२१४२ Bengali ১২২১৪২ Tamil ௧௨௨௧௪௨ Thai ๑๒๒๑๔๒ Tibetan ༡༢༢༡༤༢ Khmer ១២២១៤២ Lao ໑໒໒໑໔໒ Burmese ၁၂၂၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122142, here are decompositions:

  • 11 + 122131 = 122142
  • 43 + 122099 = 122142
  • 61 + 122081 = 122142
  • 73 + 122069 = 122142
  • 89 + 122053 = 122142
  • 101 + 122041 = 122142
  • 103 + 122039 = 122142
  • 109 + 122033 = 122142

Showing the first eight; more decompositions exist.

Hex color
#01DD1E
RGB(1, 221, 30)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.30.

Address
0.1.221.30
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.30

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 122,142 and was likely granted around 1871.

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

Position in π

The digit sequence 122142 first appears in π at position 460,875 of the decimal expansion (the 460,875ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.