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100,313

100,313 is a prime, 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.).
Arithmetic Number Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
313,001
Recamán's sequence
a(99,465) = 100,313
Square (n²)
10,062,697,969
Cube (n³)
1,009,419,421,364,297
Divisor count
2
σ(n) — sum of divisors
100,314
φ(n) — Euler's totient
100,312

Primality

100,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 100313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 100,313)
1 × 100313
First multiples
100,313 · 200,626 (double) · 300,939 · 401,252 · 501,565 · 601,878 · 702,191 · 802,504 · 902,817 · 1,003,130

Sums & aliquot sequence

As a sum of two squares: 197² + 248²
As consecutive integers: 50,156 + 50,157

Representations

In words
one hundred thousand three hundred thirteen
Ordinal
100313th
Binary
11000011111011001
Octal
303731
Hexadecimal
0x187D9
Base64
AYfZ
One's complement
4,294,866,982 (32-bit)
In other bases
ternary (3) 12002121022
quaternary (4) 120133121
quinary (5) 11202223
senary (6) 2052225
septenary (7) 565313
nonary (9) 162538
undecimal (11) 69404
duodecimal (12) 4a075
tridecimal (13) 36875
tetradecimal (14) 287b3
pentadecimal (15) 1eac8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρτιγʹ
Mayan (base 20)
𝋬·𝋪·𝋯·𝋭
Chinese
一十萬零三百一十三
Chinese (financial)
壹拾萬零參佰壹拾參
In other modern scripts
Eastern Arabic ١٠٠٣١٣ Devanagari १००३१३ Bengali ১০০৩১৩ Tamil ௧௦௦௩௧௩ Thai ๑๐๐๓๑๓ Tibetan ༡༠༠༣༡༣ Khmer ១០០៣១៣ Lao ໑໐໐໓໑໓ Burmese ၁၀၀၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𘟙
Tangut Ideograph-187D9
U+187D9
Other letter (Lo)

UTF-8 encoding: F0 98 9F 99 (4 bytes).

Hex color
#0187D9
RGB(1, 135, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.135.217.

Address
0.1.135.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.135.217

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 100,313 and was likely granted around 1870.

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

Position in π

The digit sequence 100313 first appears in π at position 157,689 of the decimal expansion (the 157,689ordinal-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.