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122,741

122,741 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.).

122,741 (one hundred twenty-two thousand seven hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DF75.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
112
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
147,221
Square (n²)
15,065,353,081
Cube (n³)
1,849,136,502,515,021
Divisor count
2
σ(n) — sum of divisors
122,742
φ(n) — Euler's totient
122,740

Primality

122,741 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122741
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,741)
1 × 122741
First multiples
122,741 · 245,482 (double) · 368,223 · 490,964 · 613,705 · 736,446 · 859,187 · 981,928 · 1,104,669 · 1,227,410

Sums & aliquot sequence

As a sum of two squares: 55² + 346²
As consecutive integers: 61,370 + 61,371

Continued fraction of √n

√122,741 = [350; (2, 1, 9, 1, 1, 1, 3, 7, 1, 1, 2, 63, 3, 3, 2, 5, 5, 1, 5, 1, 27, 5, 1, 3, …)]

Representations

In words
one hundred twenty-two thousand seven hundred forty-one
Ordinal
122741st
Binary
11101111101110101
Octal
357565
Hexadecimal
0x1DF75
Base64
Ad91
One's complement
4,294,844,554 (32-bit)
Scientific notation
1.22741 × 10⁵
As a duration
122,741 s = 1 day, 10 hours, 5 minutes, 41 seconds
In other bases
ternary (3) 20020100222
quaternary (4) 131331311
quinary (5) 12411431
senary (6) 2344125
septenary (7) 1020563
nonary (9) 206328
undecimal (11) 84243
duodecimal (12) 5b045
tridecimal (13) 43b38
tetradecimal (14) 32a33
pentadecimal (15) 2657b

As an angle

122,741° = 340 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρκβψμαʹ
Mayan (base 20)
𝋯·𝋦·𝋱·𝋡
Chinese
一十二萬二千七百四十一
Chinese (financial)
壹拾貳萬貳仟柒佰肆拾壹
In other modern scripts
Eastern Arabic ١٢٢٧٤١ Devanagari १२२७४१ Bengali ১২২৭৪১ Tamil ௧௨௨௭௪௧ Thai ๑๒๒๗๔๑ Tibetan ༡༢༢༧༤༡ Khmer ១២២៧៤១ Lao ໑໒໒໗໔໑ Burmese ၁၂၂၇၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 122743.

Hex color
#01DF75
RGB(1, 223, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.117.

Address
0.1.223.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.117

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 122,741 and was likely granted around 1871.

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

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.