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113,113

113,113 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.).

113,113 (one hundred thirteen thousand one hundred thirteen) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 7 × 11 × 13 × 113. Written other ways, in hexadecimal, 0x1B9D9.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
9
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
311,311
Recamán's sequence
a(246,350) = 113,113
Square (n²)
12,794,550,769
Cube (n³)
1,447,230,021,133,897
Divisor count
16
σ(n) — sum of divisors
153,216
φ(n) — Euler's totient
80,640
Sum of prime factors
144

Primality

Prime factorization: 7 × 11 × 13 × 113

Nearest primes: 113,111 (−2) · 113,117 (+4)

Divisors & multiples

All divisors (16)
1 · 7 · 11 · 13 · 77 · 91 · 113 · 143 · 791 · 1001 · 1243 · 1469 · 8701 · 10283 · 16159 · 113113
Aliquot sum (sum of proper divisors): 40,103
Factor pairs (a × b = 113,113)
1 × 113113
7 × 16159
11 × 10283
13 × 8701
77 × 1469
91 × 1243
113 × 1001
143 × 791
First multiples
113,113 · 226,226 (double) · 339,339 · 452,452 · 565,565 · 678,678 · 791,791 · 904,904 · 1,018,017 · 1,131,130

Sums & aliquot sequence

As consecutive integers: 56,556 + 56,557 16,156 + 16,157 + … + 16,162 10,278 + 10,279 + … + 10,288 8,695 + 8,696 + … + 8,707
Aliquot sequence: 113,113 40,103 8,569 1,511 1 0 — terminates at zero

Continued fraction of √n

√113,113 = [336; (3, 10, 5, 1, 1, 1, 7, 11, 1, 7, 2, 1, 1, 2, 2, 2, 4, 1, 4, 41, 1, 4, 1, 41, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand one hundred thirteen
Ordinal
113113th
Binary
11011100111011001
Octal
334731
Hexadecimal
0x1B9D9
Base64
AbnZ
One's complement
4,294,854,182 (32-bit)
Scientific notation
1.13113 × 10⁵
As a duration
113,113 s = 1 day, 7 hours, 25 minutes, 13 seconds
In other bases
ternary (3) 12202011101
quaternary (4) 123213121
quinary (5) 12104423
senary (6) 2231401
septenary (7) 650530
nonary (9) 182141
undecimal (11) 77a90
duodecimal (12) 55561
tridecimal (13) 3c640
tetradecimal (14) 2d317
pentadecimal (15) 237ad

As an angle

113,113° = 314 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριγριγʹ
Mayan (base 20)
𝋮·𝋢·𝋯·𝋭
Chinese
一十一萬三千一百一十三
Chinese (financial)
壹拾壹萬參仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١١٣١١٣ Devanagari ११३११३ Bengali ১১৩১১৩ Tamil ௧௧௩௧௧௩ Thai ๑๑๓๑๑๓ Tibetan ༡༡༣༡༡༣ Khmer ១១៣១១៣ Lao ໑໑໓໑໑໓ Burmese ၁၁၃၁၁၃

Also seen as

Hex color
#01B9D9
RGB(1, 185, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.217.

Address
0.1.185.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.217

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 113,113 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 113113 first appears in π at position 337,704 of the decimal expansion (the 337,704ordinal-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.

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