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100,913

100,913 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 Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
319,001
Recamán's sequence
a(254,890) = 100,913
Square (n²)
10,183,433,569
Cube (n³)
1,027,640,831,748,497
Divisor count
2
σ(n) — sum of divisors
100,914
φ(n) — Euler's totient
100,912

Primality

100,913 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 100913
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 100,913)
1 × 100913
First multiples
100,913 · 201,826 (double) · 302,739 · 403,652 · 504,565 · 605,478 · 706,391 · 807,304 · 908,217 · 1,009,130

Sums & aliquot sequence

As a sum of two squares: 217² + 232²
As consecutive integers: 50,456 + 50,457

Continued fraction of √n

√100,913 = [317; (1, 2, 79, 11, 1, 38, 1, 3, 1, 4, 19, 1, 1, 1, 4, 1, 2, 9, 1, 1, 2, 1, 12, 1, …)]

Representations

In words
one hundred thousand nine hundred thirteen
Ordinal
100913th
Binary
11000101000110001
Octal
305061
Hexadecimal
0x18A31
Base64
AYox
One's complement
4,294,866,382 (32-bit)
Scientific notation
1.00913 × 10⁵
In other bases
ternary (3) 12010102112
quaternary (4) 120220301
quinary (5) 11212123
senary (6) 2055105
septenary (7) 600131
nonary (9) 163375
undecimal (11) 698aa
duodecimal (12) 4a495
tridecimal (13) 36c17
tetradecimal (14) 28ac1
pentadecimal (15) 1ed78

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρϡιγʹ
Mayan (base 20)
𝋬·𝋬·𝋥·𝋭
Chinese
一十萬零九百一十三
Chinese (financial)
壹拾萬零玖佰壹拾參
In other modern scripts
Eastern Arabic ١٠٠٩١٣ Devanagari १००९१३ Bengali ১০০৯১৩ Tamil ௧௦௦௯௧௩ Thai ๑๐๐๙๑๓ Tibetan ༡༠༠༩༡༣ Khmer ១០០៩១៣ Lao ໑໐໐໙໑໓ Burmese ၁၀၀၉၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 100907.

Unicode codepoint
𘨱
Tangut Component-562
U+18A31
Other letter (Lo)

UTF-8 encoding: F0 98 A8 B1 (4 bytes).

Hex color
#018A31
RGB(1, 138, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.49.

Address
0.1.138.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.49

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 100,913 and was likely granted around 1870.

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000100913
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 100913 first appears in π at position 151,178 of the decimal expansion (the 151,178ordinal-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.