number.wiki
Live analysis

139,121

139,121 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.).

139,121 (one hundred thirty-nine thousand one hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21F71.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
54
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
121,931
Recamán's sequence
a(490,585) = 139,121
Square (n²)
19,354,652,641
Cube (n³)
2,692,638,630,068,561
Divisor count
2
σ(n) — sum of divisors
139,122
φ(n) — Euler's totient
139,120

Primality

139,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,121)
1 × 139121
First multiples
139,121 · 278,242 (double) · 417,363 · 556,484 · 695,605 · 834,726 · 973,847 · 1,112,968 · 1,252,089 · 1,391,210

Sums & aliquot sequence

As a sum of two squares: 164² + 335²
As consecutive integers: 69,560 + 69,561

Continued fraction of √n

√139,121 = [372; (1, 92, 4, 46, 2, 1, 2, 22, 1, 14, 1, 10, 1, 2, 1, 1, 4, 5, 1, 1, 1, 1, 3, 1, …)]

Representations

In words
one hundred thirty-nine thousand one hundred twenty-one
Ordinal
139121st
Binary
100001111101110001
Octal
417561
Hexadecimal
0x21F71
Base64
Ah9x
One's complement
4,294,828,174 (32-bit)
Scientific notation
1.39121 × 10⁵
As a duration
139,121 s = 1 day, 14 hours, 38 minutes, 41 seconds
In other bases
ternary (3) 21001211122
quaternary (4) 201331301
quinary (5) 13422441
senary (6) 2552025
septenary (7) 1116413
nonary (9) 231748
undecimal (11) 95584
duodecimal (12) 68615
tridecimal (13) 4b428
tetradecimal (14) 389b3
pentadecimal (15) 2b34b

As an angle

139,121° = 386 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλθρκαʹ
Mayan (base 20)
𝋱·𝋧·𝋰·𝋡
Chinese
一十三萬九千一百二十一
Chinese (financial)
壹拾參萬玖仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٩١٢١ Devanagari १३९१२१ Bengali ১৩৯১২১ Tamil ௧௩௯௧௨௧ Thai ๑๓๙๑๒๑ Tibetan ༡༣༩༡༢༡ Khmer ១៣៩១២១ Lao ໑໓໙໑໒໑ Burmese ၁၃၉၁၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 139123.

Unicode codepoint
𡽱
CJK Unified Ideograph-21F71
U+21F71
Other letter (Lo)

UTF-8 encoding: F0 A1 BD B1 (4 bytes).

Hex color
#021F71
RGB(2, 31, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.31.113.

Address
0.2.31.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.31.113

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 139,121 and was likely granted around 1872.

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

Position in π

The digit sequence 139121 first appears in π at position 41,815 of the decimal expansion (the 41,815ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.