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122,610

122,610 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.).

122,610 (one hundred twenty-two thousand six hundred ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 61 × 67. Its proper divisors sum to 180,942, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DEF2.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
16,221
Square (n²)
15,033,212,100
Cube (n³)
1,843,222,135,581,000
Divisor count
32
σ(n) — sum of divisors
303,552
φ(n) — Euler's totient
31,680
Sum of prime factors
138

Primality

Prime factorization: 2 × 3 × 5 × 61 × 67

Nearest primes: 122,609 (−1) · 122,611 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 61 · 67 · 122 · 134 · 183 · 201 · 305 · 335 · 366 · 402 · 610 · 670 · 915 · 1005 · 1830 · 2010 · 4087 · 8174 · 12261 · 20435 · 24522 · 40870 · 61305 (half) · 122610
Aliquot sum (sum of proper divisors): 180,942
Factor pairs (a × b = 122,610)
1 × 122610
2 × 61305
3 × 40870
5 × 24522
6 × 20435
10 × 12261
15 × 8174
30 × 4087
61 × 2010
67 × 1830
122 × 1005
134 × 915
183 × 670
201 × 610
305 × 402
335 × 366
First multiples
122,610 · 245,220 (double) · 367,830 · 490,440 · 613,050 · 735,660 · 858,270 · 980,880 · 1,103,490 · 1,226,100

Sums & aliquot sequence

As consecutive integers: 40,869 + 40,870 + 40,871 30,651 + 30,652 + 30,653 + 30,654 24,520 + 24,521 + 24,522 + 24,523 + 24,524 10,212 + 10,213 + … + 10,223
Aliquot sequence: 122,610 180,942 188,418 200,958 200,970 472,950 798,918 798,930 1,533,870 3,304,530 5,508,270 9,836,370 17,949,870 32,450,130 54,836,550 93,406,194 151,496,334 — unresolved within range

Continued fraction of √n

√122,610 = [350; (6, 2, 1, 2, 1, 5, 16, 1, 9, 1, 2, 46, 2, 1, 9, 1, 16, 5, 1, 2, 1, 2, 6, 700)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand six hundred ten
Ordinal
122610th
Binary
11101111011110010
Octal
357362
Hexadecimal
0x1DEF2
Base64
Ad7y
One's complement
4,294,844,685 (32-bit)
Scientific notation
1.2261 × 10⁵
As a duration
122,610 s = 1 day, 10 hours, 3 minutes, 30 seconds
In other bases
ternary (3) 20020012010
quaternary (4) 131323302
quinary (5) 12410420
senary (6) 2343350
septenary (7) 1020315
nonary (9) 206163
undecimal (11) 84134
duodecimal (12) 5ab56
tridecimal (13) 43a67
tetradecimal (14) 3297c
pentadecimal (15) 264e0

As an angle

122,610° = 340 × 360° + 210°
210° ≈ 3.665 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆
Greek (Milesian)
͵ρκβχιʹ
Mayan (base 20)
𝋯·𝋦·𝋪·𝋪
Chinese
一十二萬二千六百一十
Chinese (financial)
壹拾貳萬貳仟陸佰壹拾
In other modern scripts
Eastern Arabic ١٢٢٦١٠ Devanagari १२२६१० Bengali ১২২৬১০ Tamil ௧௨௨௬௧௦ Thai ๑๒๒๖๑๐ Tibetan ༡༢༢༦༡༠ Khmer ១២២៦១០ Lao ໑໒໒໖໑໐ Burmese ၁၂၂၆၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122610, here are decompositions:

  • 11 + 122599 = 122610
  • 13 + 122597 = 122610
  • 31 + 122579 = 122610
  • 53 + 122557 = 122610
  • 83 + 122527 = 122610
  • 101 + 122509 = 122610
  • 107 + 122503 = 122610
  • 109 + 122501 = 122610

Showing the first eight; more decompositions exist.

Hex color
#01DEF2
RGB(1, 222, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.242.

Address
0.1.222.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.242

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 122,610 and was likely granted around 1871.

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

Related reading

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