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122,150

122,150 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.).

122,150 (one hundred twenty-two thousand one hundred fifty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 5² × 7 × 349. Its proper divisors sum to 138,250, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD26.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Pronic / Oblong Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
51,221
Square (n²)
14,920,622,500
Cube (n³)
1,822,554,038,375,000
Divisor count
24
σ(n) — sum of divisors
260,400
φ(n) — Euler's totient
41,760
Sum of prime factors
368

Primality

Prime factorization: 2 × 5 2 × 7 × 349

Nearest primes: 122,149 (−1) · 122,167 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 5 · 7 · 10 · 14 · 25 · 35 · 50 · 70 · 175 · 349 · 350 · 698 · 1745 · 2443 · 3490 · 4886 · 8725 · 12215 · 17450 · 24430 · 61075 (half) · 122150
Aliquot sum (sum of proper divisors): 138,250
Factor pairs (a × b = 122,150)
1 × 122150
2 × 61075
5 × 24430
7 × 17450
10 × 12215
14 × 8725
25 × 4886
35 × 3490
50 × 2443
70 × 1745
175 × 698
349 × 350
First multiples
122,150 · 244,300 (double) · 366,450 · 488,600 · 610,750 · 732,900 · 855,050 · 977,200 · 1,099,350 · 1,221,500

Sums & aliquot sequence

As consecutive integers: 30,536 + 30,537 + 30,538 + 30,539 24,428 + 24,429 + 24,430 + 24,431 + 24,432 17,447 + 17,448 + … + 17,453 6,098 + 6,099 + … + 6,117
Aliquot sequence: 122,150 138,250 161,270 129,034 66,266 39,034 21,626 13,798 6,902 6,058 3,770 3,790 3,050 2,716 2,772 5,964 10,164 — unresolved within range

Continued fraction of √n

√122,150 = [349; (2, 698)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand one hundred fifty
Ordinal
122150th
Binary
11101110100100110
Octal
356446
Hexadecimal
0x1DD26
Base64
Ad0m
One's complement
4,294,845,145 (32-bit)
Scientific notation
1.2215 × 10⁵
As a duration
122,150 s = 1 day, 9 hours, 55 minutes, 50 seconds
In other bases
ternary (3) 20012120002
quaternary (4) 131310212
quinary (5) 12402100
senary (6) 2341302
septenary (7) 1016060
nonary (9) 205502
undecimal (11) 83856
duodecimal (12) 5a832
tridecimal (13) 437a2
tetradecimal (14) 32730
pentadecimal (15) 262d5
Palindromic in base 9

As an angle

122,150° = 339 × 360° + 110°
110° ≈ 1.92 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκβρνʹ
Mayan (base 20)
𝋯·𝋥·𝋧·𝋪
Chinese
一十二萬二千一百五十
Chinese (financial)
壹拾貳萬貳仟壹佰伍拾
In other modern scripts
Eastern Arabic ١٢٢١٥٠ Devanagari १२२१५० Bengali ১২২১৫০ Tamil ௧௨௨௧௫௦ Thai ๑๒๒๑๕๐ Tibetan ༡༢༢༡༥༠ Khmer ១២២១៥០ Lao ໑໒໒໑໕໐ Burmese ၁၂၂၁၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122150, here are decompositions:

  • 3 + 122147 = 122150
  • 19 + 122131 = 122150
  • 97 + 122053 = 122150
  • 109 + 122041 = 122150
  • 139 + 122011 = 122150
  • 157 + 121993 = 122150
  • 199 + 121951 = 122150
  • 229 + 121921 = 122150

Showing the first eight; more decompositions exist.

Hex color
#01DD26
RGB(1, 221, 38)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.38.

Address
0.1.221.38
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.38

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 122,150 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 122150 first appears in π at position 489,883 of the decimal expansion (the 489,883ordinal-suffix:rd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.