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111,370

111,370 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.).

111,370 (one hundred eleven thousand three hundred seventy) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 37 × 43. Its proper divisors sum to 129,398, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B30A.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Self Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
73,111
Recamán's sequence
a(247,668) = 111,370
Square (n²)
12,403,276,900
Cube (n³)
1,381,352,948,353,000
Divisor count
32
σ(n) — sum of divisors
240,768
φ(n) — Euler's totient
36,288
Sum of prime factors
94

Primality

Prime factorization: 2 × 5 × 7 × 37 × 43

Nearest primes: 111,347 (−23) · 111,373 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 7 · 10 · 14 · 35 · 37 · 43 · 70 · 74 · 86 · 185 · 215 · 259 · 301 · 370 · 430 · 518 · 602 · 1295 · 1505 · 1591 · 2590 · 3010 · 3182 · 7955 · 11137 · 15910 · 22274 · 55685 (half) · 111370
Aliquot sum (sum of proper divisors): 129,398
Factor pairs (a × b = 111,370)
1 × 111370
2 × 55685
5 × 22274
7 × 15910
10 × 11137
14 × 7955
35 × 3182
37 × 3010
43 × 2590
70 × 1591
74 × 1505
86 × 1295
185 × 602
215 × 518
259 × 430
301 × 370
First multiples
111,370 · 222,740 (double) · 334,110 · 445,480 · 556,850 · 668,220 · 779,590 · 890,960 · 1,002,330 · 1,113,700

Sums & aliquot sequence

As consecutive integers: 27,841 + 27,842 + 27,843 + 27,844 22,272 + 22,273 + 22,274 + 22,275 + 22,276 15,907 + 15,908 + … + 15,913 5,559 + 5,560 + … + 5,578
Aliquot sequence: 111,370 129,398 82,282 41,144 38,656 39,016 34,154 17,080 27,560 40,480 68,384 66,310 59,690 50,902 28,010 22,426 11,216 — unresolved within range

Continued fraction of √n

√111,370 = [333; (1, 2, 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 2, 1, 2, 7, 1, 6, 1, 7, 2, 1, 2, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred eleven thousand three hundred seventy
Ordinal
111370th
Binary
11011001100001010
Octal
331412
Hexadecimal
0x1B30A
Base64
AbMK
One's complement
4,294,855,925 (32-bit)
Scientific notation
1.1137 × 10⁵
As a duration
111,370 s = 1 day, 6 hours, 56 minutes, 10 seconds
In other bases
ternary (3) 12122202211
quaternary (4) 123030022
quinary (5) 12030440
senary (6) 2215334
septenary (7) 642460
nonary (9) 178684
undecimal (11) 76746
duodecimal (12) 5454a
tridecimal (13) 3b8cc
tetradecimal (14) 2c830
pentadecimal (15) 22eea

As an angle

111,370° = 309 × 360° + 130°
130° ≈ 2.269 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριατοʹ
Mayan (base 20)
𝋭·𝋲·𝋨·𝋪
Chinese
一十一萬一千三百七十
Chinese (financial)
壹拾壹萬壹仟參佰柒拾
In other modern scripts
Eastern Arabic ١١١٣٧٠ Devanagari १११३७० Bengali ১১১৩৭০ Tamil ௧௧௧௩௭௦ Thai ๑๑๑๓๗๐ Tibetan ༡༡༡༣༧༠ Khmer ១១១៣៧០ Lao ໑໑໑໓໗໐ Burmese ၁၁၁၃၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 111370, here are decompositions:

  • 23 + 111347 = 111370
  • 29 + 111341 = 111370
  • 47 + 111323 = 111370
  • 53 + 111317 = 111370
  • 101 + 111269 = 111370
  • 107 + 111263 = 111370
  • 179 + 111191 = 111370
  • 227 + 111143 = 111370

Showing the first eight; more decompositions exist.

Hex color
#01B30A
RGB(1, 179, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.179.10.

Address
0.1.179.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.179.10

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 111,370 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 111370 first appears in π at position 271,249 of the decimal expansion (the 271,249ordinal-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