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Live analysis

101,113

101,113 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 Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
311,101
Recamán's sequence
a(98,573) = 101,113
Square (n²)
10,223,838,769
Cube (n³)
1,033,763,009,449,897
Divisor count
2
σ(n) — sum of divisors
101,114
φ(n) — Euler's totient
101,112

Primality

101,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,113)
1 × 101113
First multiples
101,113 · 202,226 (double) · 303,339 · 404,452 · 505,565 · 606,678 · 707,791 · 808,904 · 910,017 · 1,011,130

Sums & aliquot sequence

As a sum of two squares: 212² + 237²
As consecutive integers: 50,556 + 50,557

Continued fraction of √n

√101,113 = [317; (1, 56, 1, 4, 2, 4, 1, 4, 26, 3, 2, 3, 2, 8, 1, 1, 11, 2, 8, 4, 3, 2, 1, 5, …)]

Representations

In words
one hundred one thousand one hundred thirteen
Ordinal
101113th
Binary
11000101011111001
Octal
305371
Hexadecimal
0x18AF9
Base64
AYr5
One's complement
4,294,866,182 (32-bit)
Scientific notation
1.01113 × 10⁵
In other bases
ternary (3) 12010200221
quaternary (4) 120223321
quinary (5) 11213423
senary (6) 2100041
septenary (7) 600535
nonary (9) 163627
undecimal (11) 69a71
duodecimal (12) 4a621
tridecimal (13) 3703c
tetradecimal (14) 28bc5
pentadecimal (15) 1ee5d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ραριγʹ
Mayan (base 20)
𝋬·𝋬·𝋯·𝋭
Chinese
一十萬一千一百一十三
Chinese (financial)
壹拾萬壹仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١٠١١١٣ Devanagari १०१११३ Bengali ১০১১১৩ Tamil ௧௦௧௧௧௩ Thai ๑๐๑๑๑๓ Tibetan ༡༠༡༡༡༣ Khmer ១០១១១៣ Lao ໑໐໑໑໑໓ Burmese ၁၀၁၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 101111, cousin with 101117.

Unicode codepoint
𘫹
Tangut Component-762
U+18AF9
Other letter (Lo)

UTF-8 encoding: F0 98 AB B9 (4 bytes).

Hex color
#018AF9
RGB(1, 138, 249)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.249.

Address
0.1.138.249
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.249

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 101,113 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 101113 first appears in π at position 558,615 of the decimal expansion (the 558,615ordinal-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.