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151,013

151,013 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.).

151,013 (one hundred fifty-one thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x24DE5.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
310,151
Recamán's sequence
a(209,270) = 151,013
Square (n²)
22,804,926,169
Cube (n³)
3,443,840,315,559,197
Divisor count
2
σ(n) — sum of divisors
151,014
φ(n) — Euler's totient
151,012

Primality

151,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 151013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 151,013)
1 × 151013
First multiples
151,013 · 302,026 (double) · 453,039 · 604,052 · 755,065 · 906,078 · 1,057,091 · 1,208,104 · 1,359,117 · 1,510,130

Sums & aliquot sequence

As a sum of two squares: 262² + 287²
As consecutive integers: 75,506 + 75,507

Continued fraction of √n

√151,013 = [388; (1, 1, 1, 1, 9, 1, 1, 1, 2, 11, 18, 1, 6, 1, 1, 2, 20, 1, 1, 1, 1, 3, 15, 1, …)]

Representations

In words
one hundred fifty-one thousand thirteen
Ordinal
151013th
Binary
100100110111100101
Octal
446745
Hexadecimal
0x24DE5
Base64
Ak3l
One's complement
4,294,816,282 (32-bit)
Scientific notation
1.51013 × 10⁵
As a duration
151,013 s = 1 day, 17 hours, 56 minutes, 53 seconds
In other bases
ternary (3) 21200011002
quaternary (4) 210313211
quinary (5) 14313023
senary (6) 3123045
septenary (7) 1166162
nonary (9) 250132
undecimal (11) a3505
duodecimal (12) 73485
tridecimal (13) 53975
tetradecimal (14) 3d069
pentadecimal (15) 2eb28

As an angle

151,013° = 419 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρναιγʹ
Mayan (base 20)
𝋲·𝋱·𝋪·𝋭
Chinese
一十五萬一千零一十三
Chinese (financial)
壹拾伍萬壹仟零壹拾參
In other modern scripts
Eastern Arabic ١٥١٠١٣ Devanagari १५१०१३ Bengali ১৫১০১৩ Tamil ௧௫௧௦௧௩ Thai ๑๕๑๐๑๓ Tibetan ༡༥༡༠༡༣ Khmer ១៥១០១៣ Lao ໑໕໑໐໑໓ Burmese ၁၅၁၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 151009.

Unicode codepoint
𤷥
CJK Unified Ideograph-24De5
U+24DE5
Other letter (Lo)

UTF-8 encoding: F0 A4 B7 A5 (4 bytes).

Hex color
#024DE5
RGB(2, 77, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.77.229.

Address
0.2.77.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.77.229

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 151,013 and was likely granted around 1873.

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

Position in π

The digit sequence 151013 first appears in π at position 955,840 of the decimal expansion (the 955,840ordinal-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.