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136,013

136,013 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.).

136,013 (one hundred thirty-six thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2134D.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
310,631
Square (n²)
18,499,536,169
Cube (n³)
2,516,177,412,954,197
Divisor count
2
σ(n) — sum of divisors
136,014
φ(n) — Euler's totient
136,012

Primality

136,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,013)
1 × 136013
First multiples
136,013 · 272,026 (double) · 408,039 · 544,052 · 680,065 · 816,078 · 952,091 · 1,088,104 · 1,224,117 · 1,360,130

Sums & aliquot sequence

As a sum of two squares: 178² + 323²
As consecutive integers: 68,006 + 68,007

Continued fraction of √n

√136,013 = [368; (1, 3, 1, 66, 3, 1, 13, 6, 43, 4, 2, 9, 3, 1, 5, 5, 4, 1, 3, 8, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirty-six thousand thirteen
Ordinal
136013th
Binary
100001001101001101
Octal
411515
Hexadecimal
0x2134D
Base64
AhNN
One's complement
4,294,831,282 (32-bit)
Scientific notation
1.36013 × 10⁵
As a duration
136,013 s = 1 day, 13 hours, 46 minutes, 53 seconds
In other bases
ternary (3) 20220120112
quaternary (4) 201031031
quinary (5) 13323023
senary (6) 2525405
septenary (7) 1104353
nonary (9) 226515
undecimal (11) 93209
duodecimal (12) 66865
tridecimal (13) 49ba7
tetradecimal (14) 377d3
pentadecimal (15) 2a478

As an angle

136,013° = 377 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛιγʹ
Mayan (base 20)
𝋱·𝋠·𝋠·𝋭
Chinese
一十三萬六千零一十三
Chinese (financial)
壹拾參萬陸仟零壹拾參
In other modern scripts
Eastern Arabic ١٣٦٠١٣ Devanagari १३६०१३ Bengali ১৩৬০১৩ Tamil ௧௩௬௦௧௩ Thai ๑๓๖๐๑๓ Tibetan ༡༣༦༠༡༣ Khmer ១៣៦០១៣ Lao ໑໓໖໐໑໓ Burmese ၁၃၆၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡍍
CJK Unified Ideograph-2134D
U+2134D
Other letter (Lo)

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

Hex color
#02134D
RGB(2, 19, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.77.

Address
0.2.19.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.77

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 136,013 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 136013 first appears in π at position 20,548 of the decimal expansion (the 20,548ordinal-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.