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122,149

122,149 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.).

122,149 (one hundred twenty-two thousand one hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DD25.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
144
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
941,221
Square (n²)
14,920,378,201
Cube (n³)
1,822,509,276,873,949
Divisor count
2
σ(n) — sum of divisors
122,150
φ(n) — Euler's totient
122,148

Primality

122,149 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122149
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,149)
1 × 122149
First multiples
122,149 · 244,298 (double) · 366,447 · 488,596 · 610,745 · 732,894 · 855,043 · 977,192 · 1,099,341 · 1,221,490

Sums & aliquot sequence

As a sum of two squares: 145² + 318²
As consecutive integers: 61,074 + 61,075

Continued fraction of √n

√122,149 = [349; (2, 139, 3, 2, 1, 27, 3, 1, 5, 1, 1, 5, 19, 4, 4, 4, 3, 1, 1, 1, 5, 22, 2, 1, …)]

Representations

In words
one hundred twenty-two thousand one hundred forty-nine
Ordinal
122149th
Binary
11101110100100101
Octal
356445
Hexadecimal
0x1DD25
Base64
Ad0l
One's complement
4,294,845,146 (32-bit)
Scientific notation
1.22149 × 10⁵
As a duration
122,149 s = 1 day, 9 hours, 55 minutes, 49 seconds
In other bases
ternary (3) 20012120001
quaternary (4) 131310211
quinary (5) 12402044
senary (6) 2341301
septenary (7) 1016056
nonary (9) 205501
undecimal (11) 83855
duodecimal (12) 5a831
tridecimal (13) 437a1
tetradecimal (14) 3272d
pentadecimal (15) 262d4

As an angle

122,149° = 339 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβρμθʹ
Mayan (base 20)
𝋯·𝋥·𝋧·𝋩
Chinese
一十二萬二千一百四十九
Chinese (financial)
壹拾貳萬貳仟壹佰肆拾玖
In other modern scripts
Eastern Arabic ١٢٢١٤٩ Devanagari १२२१४९ Bengali ১২২১৪৯ Tamil ௧௨௨௧௪௯ Thai ๑๒๒๑๔๙ Tibetan ༡༢༢༡༤༩ Khmer ១២២១៤៩ Lao ໑໒໒໑໔໙ Burmese ၁၂၂၁၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 122147.

Hex color
#01DD25
RGB(1, 221, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.37.

Address
0.1.221.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.37

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 122,149 and was likely granted around 1871.

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

Position in π

The digit sequence 122149 first appears in π at position 407,273 of the decimal expansion (the 407,273ordinal-suffix:rd 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.