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101,200

101,200 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 Gapful Number Harshad / Niven Octagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
4
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
2,101
Recamán's sequence
a(98,399) = 101,200
Square (n²)
10,241,440,000
Cube (n³)
1,036,433,728,000,000
Divisor count
60
σ(n) — sum of divisors
276,768
φ(n) — Euler's totient
35,200
Sum of prime factors
52

Primality

Prime factorization: 2 4 × 5 2 × 11 × 23

Nearest primes: 101,197 (−3) · 101,203 (+3)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 23 · 25 · 40 · 44 · 46 · 50 · 55 · 80 · 88 · 92 · 100 · 110 · 115 · 176 · 184 · 200 · 220 · 230 · 253 · 275 · 368 · 400 · 440 · 460 · 506 · 550 · 575 · 880 · 920 · 1012 · 1100 · 1150 · 1265 · 1840 · 2024 · 2200 · 2300 · 2530 · 4048 · 4400 · 4600 · 5060 · 6325 · 9200 · 10120 · 12650 · 20240 · 25300 · 50600 (half) · 101200
Aliquot sum (sum of proper divisors): 175,568
Factor pairs (a × b = 101,200)
1 × 101200
2 × 50600
4 × 25300
5 × 20240
8 × 12650
10 × 10120
11 × 9200
16 × 6325
20 × 5060
22 × 4600
23 × 4400
25 × 4048
40 × 2530
44 × 2300
46 × 2200
50 × 2024
55 × 1840
80 × 1265
88 × 1150
92 × 1100
100 × 1012
110 × 920
115 × 880
176 × 575
184 × 550
200 × 506
220 × 460
230 × 440
253 × 400
275 × 368
First multiples
101,200 · 202,400 (double) · 303,600 · 404,800 · 506,000 · 607,200 · 708,400 · 809,600 · 910,800 · 1,012,000

Sums & aliquot sequence

As consecutive integers: 20,238 + 20,239 + 20,240 + 20,241 + 20,242 9,195 + 9,196 + … + 9,205 4,389 + 4,390 + … + 4,411 4,036 + 4,037 + … + 4,060
Aliquot sequence: 101,200 175,568 164,626 143,534 76,906 38,456 47,944 49,076 36,814 19,346 11,434 5,720 9,400 12,920 19,480 24,440 36,040 — unresolved within range

Continued fraction of √n

√101,200 = [318; (8, 2, 1, 2, 2, 1, 2, 1, 13, 1, 2, 1, 2, 2, 1, 2, 8, 636)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand two hundred
Ordinal
101200th
Binary
11000101101010000
Octal
305520
Hexadecimal
0x18B50
Base64
AYtQ
One's complement
4,294,866,095 (32-bit)
Scientific notation
1.012 × 10⁵
In other bases
ternary (3) 12010211011
quaternary (4) 120231100
quinary (5) 11214300
senary (6) 2100304
septenary (7) 601021
nonary (9) 163734
undecimal (11) 6a040
duodecimal (12) 4a694
tridecimal (13) 370a8
tetradecimal (14) 28c48
pentadecimal (15) 1eeba

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢
Greek (Milesian)
͵ρασʹ
Mayan (base 20)
𝋬·𝋭·𝋠·𝋠
Chinese
一十萬一千二百
Chinese (financial)
壹拾萬壹仟貳佰
In other modern scripts
Eastern Arabic ١٠١٢٠٠ Devanagari १०१२०० Bengali ১০১২০০ Tamil ௧௦௧௨௦௦ Thai ๑๐๑๒๐๐ Tibetan ༡༠༡༢༠༠ Khmer ១០១២០០ Lao ໑໐໑໒໐໐ Burmese ၁၀၁၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101200, here are decompositions:

  • 3 + 101197 = 101200
  • 17 + 101183 = 101200
  • 41 + 101159 = 101200
  • 59 + 101141 = 101200
  • 83 + 101117 = 101200
  • 89 + 101111 = 101200
  • 137 + 101063 = 101200
  • 149 + 101051 = 101200

Showing the first eight; more decompositions exist.

Unicode codepoint
𘭐
Khitan Small Script Character-18B50
U+18B50
Other letter (Lo)

UTF-8 encoding: F0 98 AD 90 (4 bytes).

Hex color
#018B50
RGB(1, 139, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.139.80.

Address
0.1.139.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.139.80

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 101,200 and was likely granted around 1870.

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000101200
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.