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101,513

101,513 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 Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
315,101
Square (n²)
10,304,889,169
Cube (n³)
1,046,080,214,212,697
Divisor count
2
σ(n) — sum of divisors
101,514
φ(n) — Euler's totient
101,512

Primality

101,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,513)
1 × 101513
First multiples
101,513 · 203,026 (double) · 304,539 · 406,052 · 507,565 · 609,078 · 710,591 · 812,104 · 913,617 · 1,015,130

Sums & aliquot sequence

As a sum of two squares: 32² + 317²
As consecutive integers: 50,756 + 50,757

Continued fraction of √n

√101,513 = [318; (1, 1, 1, 1, 3, 48, 1, 2, 1, 5, 10, 3, 1, 2, 19, 1, 1, 4, 2, 6, 1, 3, 1, 3, …)]

Representations

In words
one hundred one thousand five hundred thirteen
Ordinal
101513th
Binary
11000110010001001
Octal
306211
Hexadecimal
0x18C89
Base64
AYyJ
One's complement
4,294,865,782 (32-bit)
Scientific notation
1.01513 × 10⁵
As a duration
101,513 s = 1 day, 4 hours, 11 minutes, 53 seconds
In other bases
ternary (3) 12011020202
quaternary (4) 120302021
quinary (5) 11222023
senary (6) 2101545
septenary (7) 601646
nonary (9) 164222
undecimal (11) 6a2a5
duodecimal (12) 4a8b5
tridecimal (13) 37289
tetradecimal (14) 28dcd
pentadecimal (15) 20128

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ραφιγʹ
Mayan (base 20)
𝋬·𝋭·𝋯·𝋭
Chinese
一十萬一千五百一十三
Chinese (financial)
壹拾萬壹仟伍佰壹拾參
In other modern scripts
Eastern Arabic ١٠١٥١٣ Devanagari १०१५१३ Bengali ১০১৫১৩ Tamil ௧௦௧௫௧௩ Thai ๑๐๑๕๑๓ Tibetan ༡༠༡༥༡༣ Khmer ១០១៥១៣ Lao ໑໐໑໕໑໓ Burmese ၁၀၁၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𘲉
Khitan Small Script Character-18C89
U+18C89
Other letter (Lo)

UTF-8 encoding: F0 98 B2 89 (4 bytes).

Hex color
#018C89
RGB(1, 140, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.140.137.

Address
0.1.140.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.140.137

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 101,513 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 101513 first appears in π at position 510,925 of the decimal expansion (the 510,925ordinal-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.