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Number

31,121

31,121 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
6
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
12,113
Recamán's sequence
a(31,421) = 31,121
Square (n²)
968,516,641
Cube (n³)
30,141,206,384,561
Divisor count
2
σ(n) — sum of divisors
31,122
φ(n) — Euler's totient
31,120

Primality

31,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 31121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 31,121)
1 × 31121
First multiples
31,121 · 62,242 (double) · 93,363 · 124,484 · 155,605 · 186,726 · 217,847 · 248,968 · 280,089 · 311,210

Sums & aliquot sequence

As a sum of two squares: 65² + 164²
As consecutive integers: 15,560 + 15,561

Representations

In words
thirty-one thousand one hundred twenty-one
Ordinal
31121st
Binary
111100110010001
Octal
74621
Hexadecimal
0x7991
Base64
eZE=
One's complement
34,414 (16-bit)
In other bases
ternary (3) 1120200122
quaternary (4) 13212101
quinary (5) 1443441
senary (6) 400025
septenary (7) 156506
nonary (9) 46618
undecimal (11) 21422
duodecimal (12) 16015
tridecimal (13) 1121c
tetradecimal (14) b4ad
pentadecimal (15) 934b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵λαρκαʹ
Mayan (base 20)
𝋣·𝋱·𝋰·𝋡
Chinese
三萬一千一百二十一
Chinese (financial)
參萬壹仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ٣١١٢١ Devanagari ३११२१ Bengali ৩১১২১ Tamil ௩௧௧௨௧ Thai ๓๑๑๒๑ Tibetan ༣༡༡༢༡ Khmer ៣១១២១ Lao ໓໑໑໒໑ Burmese ၃၁၁၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 31,121 = 6
e — Euler's number (e)
Digit 31,121 = 9
φ — Golden ratio (φ)
Digit 31,121 = 2
√2 — Pythagoras's (√2)
Digit 31,121 = 3
ln 2 — Natural log of 2
Digit 31,121 = 3
γ — Euler-Mascheroni (γ)
Digit 31,121 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 31,091 (gap of 30)
  • Next prime: 31,123 (gap of 2)

Pair status: twin with 31123.

Unicode codepoint
CJK Unified Ideograph-7991
U+7991
Other letter (Lo)

UTF-8 encoding: E7 A6 91 (3 bytes).

Hex color
#007991
RGB(0, 121, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.121.145.

Address
0.0.121.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.121.145

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

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

Routing number
000031121
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 31121 first appears in π at position 38,338 of the decimal expansion (the 38,338ordinal-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.