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101,161

101,161 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.).

101,161 (one hundred one thousand one hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x18B29.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
161,101
Flips to (rotate 180°)
191,101
Recamán's sequence
a(98,477) = 101,161
Square (n²)
10,233,547,921
Cube (n³)
1,035,235,941,236,281
Divisor count
2
σ(n) — sum of divisors
101,162
φ(n) — Euler's totient
101,160

Primality

101,161 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101161
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,161)
1 × 101161
First multiples
101,161 · 202,322 (double) · 303,483 · 404,644 · 505,805 · 606,966 · 708,127 · 809,288 · 910,449 · 1,011,610

Sums & aliquot sequence

As a sum of two squares: 44² + 315²
As consecutive integers: 50,580 + 50,581

Continued fraction of √n

√101,161 = [318; (17, 5, 4, 7, 1, 2, 2, 18, 1, 5, 1, 2, 9, 1, 2, 1, 19, 1, 3, 2, 6, 1, 3, 1, …)]

Representations

In words
one hundred one thousand one hundred sixty-one
Ordinal
101161st
Binary
11000101100101001
Octal
305451
Hexadecimal
0x18B29
Base64
AYsp
One's complement
4,294,866,134 (32-bit)
Scientific notation
1.01161 × 10⁵
As a duration
101,161 s = 1 day, 4 hours, 6 minutes, 1 second
In other bases
ternary (3) 12010202201
quaternary (4) 120230221
quinary (5) 11214121
senary (6) 2100201
septenary (7) 600634
nonary (9) 163681
undecimal (11) 6a005
duodecimal (12) 4a661
tridecimal (13) 37078
tetradecimal (14) 28c1b
pentadecimal (15) 1ee91

As an angle

101,161° = 281 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ραρξαʹ
Mayan (base 20)
𝋬·𝋬·𝋲·𝋡
Chinese
一十萬一千一百六十一
Chinese (financial)
壹拾萬壹仟壹佰陸拾壹
In other modern scripts
Eastern Arabic ١٠١١٦١ Devanagari १०११६१ Bengali ১০১১৬১ Tamil ௧௦௧௧௬௧ Thai ๑๐๑๑๖๑ Tibetan ༡༠༡༡༦༡ Khmer ១០១១៦១ Lao ໑໐໑໑໖໑ Burmese ၁၀၁၁၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 101159.

Unicode codepoint
𘬩
Khitan Small Script Character-18B29
U+18B29
Other letter (Lo)

UTF-8 encoding: F0 98 AC A9 (4 bytes).

Hex color
#018B29
RGB(1, 139, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.139.41.

Address
0.1.139.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.139.41

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 101,161 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 101161 first appears in π at position 238,128 of the decimal expansion (the 238,128ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.