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113,157

113,157 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.).

113,157 (one hundred thirteen thousand one hundred fifty-seven) is an odd 6-digit number. It is a composite number with 20 divisors, and factors as 3⁴ × 11 × 127. Written other ways, in hexadecimal, 0x1BA05.

Deficient Number Evil Number Happy Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
105
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
751,311
Recamán's sequence
a(246,262) = 113,157
Square (n²)
12,804,506,649
Cube (n³)
1,448,919,558,880,893
Divisor count
20
σ(n) — sum of divisors
185,856
φ(n) — Euler's totient
68,040
Sum of prime factors
150

Primality

Prime factorization: 3 4 × 11 × 127

Nearest primes: 113,153 (−4) · 113,159 (+2)

Divisors & multiples

All divisors (20)
1 · 3 · 9 · 11 · 27 · 33 · 81 · 99 · 127 · 297 · 381 · 891 · 1143 · 1397 · 3429 · 4191 · 10287 · 12573 · 37719 · 113157
Aliquot sum (sum of proper divisors): 72,699
Factor pairs (a × b = 113,157)
1 × 113157
3 × 37719
9 × 12573
11 × 10287
27 × 4191
33 × 3429
81 × 1397
99 × 1143
127 × 891
297 × 381
First multiples
113,157 · 226,314 (double) · 339,471 · 452,628 · 565,785 · 678,942 · 792,099 · 905,256 · 1,018,413 · 1,131,570

Sums & aliquot sequence

As consecutive integers: 56,578 + 56,579 37,718 + 37,719 + 37,720 18,857 + 18,858 + 18,859 + 18,860 + 18,861 + 18,862 12,569 + 12,570 + … + 12,577
Aliquot sequence: 113,157 72,699 33,093 14,721 7,743 3,057 1,023 513 287 49 8 7 1 0 — terminates at zero

Continued fraction of √n

√113,157 = [336; (2, 1, 1, 2, 1, 3, 1, 1, 3, 2, 7, 1, 2, 167, 1, 5, 1, 1, 6, 8, 6, 1, 1, 5, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand one hundred fifty-seven
Ordinal
113157th
Binary
11011101000000101
Octal
335005
Hexadecimal
0x1BA05
Base64
AboF
One's complement
4,294,854,138 (32-bit)
Scientific notation
1.13157 × 10⁵
As a duration
113,157 s = 1 day, 7 hours, 25 minutes, 57 seconds
In other bases
ternary (3) 12202020000
quaternary (4) 123220011
quinary (5) 12110112
senary (6) 2231513
septenary (7) 650622
nonary (9) 182200
undecimal (11) 78020
duodecimal (12) 55599
tridecimal (13) 3c675
tetradecimal (14) 2d349
pentadecimal (15) 237dc

As an angle

113,157° = 314 × 360° + 117°
117° ≈ 2.042 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγρνζʹ
Mayan (base 20)
𝋮·𝋢·𝋱·𝋱
Chinese
一十一萬三千一百五十七
Chinese (financial)
壹拾壹萬參仟壹佰伍拾柒
In other modern scripts
Eastern Arabic ١١٣١٥٧ Devanagari ११३१५७ Bengali ১১৩১৫৭ Tamil ௧௧௩௧௫௭ Thai ๑๑๓๑๕๗ Tibetan ༡༡༣༡༥༧ Khmer ១១៣១៥៧ Lao ໑໑໓໑໕໗ Burmese ၁၁၃၁၅၇

Also seen as

Hex color
#01BA05
RGB(1, 186, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.5.

Address
0.1.186.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.5

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 113,157 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°.