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137,111

137,111 is a composite number, odd.

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.).

137,111 (one hundred thirty-seven thousand one hundred eleven) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 13 × 53 × 199. Written other ways, in hexadecimal, 0x21797.

Arithmetic Number Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
21
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
111,731
Square (n²)
18,799,426,321
Cube (n³)
2,577,608,142,298,631
Divisor count
8
σ(n) — sum of divisors
151,200
φ(n) — Euler's totient
123,552
Sum of prime factors
265

Primality

Prime factorization: 13 × 53 × 199

Nearest primes: 137,089 (−22) · 137,117 (+6)

Divisors & multiples

All divisors (8)
1 · 13 · 53 · 199 · 689 · 2587 · 10547 · 137111
Aliquot sum (sum of proper divisors): 14,089
Factor pairs (a × b = 137,111)
1 × 137111
13 × 10547
53 × 2587
199 × 689
First multiples
137,111 · 274,222 (double) · 411,333 · 548,444 · 685,555 · 822,666 · 959,777 · 1,096,888 · 1,233,999 · 1,371,110

Sums & aliquot sequence

As consecutive integers: 68,555 + 68,556 10,541 + 10,542 + … + 10,553 5,261 + 5,262 + … + 5,286 2,561 + 2,562 + … + 2,613
Aliquot sequence: 137,111 14,089 267 93 35 13 1 0 — terminates at zero

Continued fraction of √n

√137,111 = [370; (3, 1, 1, 29, 19, 2, 5, 25, 2, 1, 4, 1, 1, 5, 6, 1, 2, 1, 6, 5, 1, 1, 4, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand one hundred eleven
Ordinal
137111th
Binary
100001011110010111
Octal
413627
Hexadecimal
0x21797
Base64
AheX
One's complement
4,294,830,184 (32-bit)
Scientific notation
1.37111 × 10⁵
As a duration
137,111 s = 1 day, 14 hours, 5 minutes, 11 seconds
In other bases
ternary (3) 20222002012
quaternary (4) 201132113
quinary (5) 13341421
senary (6) 2534435
septenary (7) 1110512
nonary (9) 228065
undecimal (11) 94017
duodecimal (12) 6741b
tridecimal (13) 4a540
tetradecimal (14) 37d79
pentadecimal (15) 2a95b

As an angle

137,111° = 380 × 360° + 311°
311° ≈ 5.428 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺
Greek (Milesian)
͵ρλζριαʹ
Mayan (base 20)
𝋱·𝋢·𝋯·𝋫
Chinese
一十三萬七千一百一十一
Chinese (financial)
壹拾參萬柒仟壹佰壹拾壹
In other modern scripts
Eastern Arabic ١٣٧١١١ Devanagari १३७१११ Bengali ১৩৭১১১ Tamil ௧௩௭௧௧௧ Thai ๑๓๗๑๑๑ Tibetan ༡༣༧༡༡༡ Khmer ១៣៧១១១ Lao ໑໓໗໑໑໑ Burmese ၁၃၇၁၁၁

Also seen as

Unicode codepoint
𡞗
CJK Unified Ideograph-21797
U+21797
Other letter (Lo)

UTF-8 encoding: F0 A1 9E 97 (4 bytes).

Hex color
#021797
RGB(2, 23, 151)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.151.

Address
0.2.23.151
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.151

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 137,111 and was likely granted around 1872.

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

Position in π

The digit sequence 137111 first appears in π at position 999,082 of the decimal expansion (the 999,082ordinal-suffix:nd 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.