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122,501

122,501 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.).

122,501 (one hundred twenty-two thousand five hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DE85.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
105,221
Square (n²)
15,006,495,001
Cube (n³)
1,838,310,644,117,501
Divisor count
2
σ(n) — sum of divisors
122,502
φ(n) — Euler's totient
122,500

Primality

122,501 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122501
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,501)
1 × 122501
First multiples
122,501 · 245,002 (double) · 367,503 · 490,004 · 612,505 · 735,006 · 857,507 · 980,008 · 1,102,509 · 1,225,010

Sums & aliquot sequence

As a sum of two squares: 1² + 350²
As consecutive integers: 61,250 + 61,251

Continued fraction of √n

√122,501 = [350; (700)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand five hundred one
Ordinal
122501st
Binary
11101111010000101
Octal
357205
Hexadecimal
0x1DE85
Base64
Ad6F
One's complement
4,294,844,794 (32-bit)
Scientific notation
1.22501 × 10⁵
As a duration
122,501 s = 1 day, 10 hours, 1 minute, 41 seconds
In other bases
ternary (3) 20020001002
quaternary (4) 131322011
quinary (5) 12410001
senary (6) 2343045
septenary (7) 1020101
nonary (9) 206032
undecimal (11) 84045
duodecimal (12) 5aa85
tridecimal (13) 439b2
tetradecimal (14) 32901
pentadecimal (15) 2646b

As an angle

122,501° = 340 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρκβφαʹ
Mayan (base 20)
𝋯·𝋦·𝋥·𝋡
Chinese
一十二萬二千五百零一
Chinese (financial)
壹拾貳萬貳仟伍佰零壹
In other modern scripts
Eastern Arabic ١٢٢٥٠١ Devanagari १२२५०१ Bengali ১২২৫০১ Tamil ௧௨௨௫௦௧ Thai ๑๒๒๕๐๑ Tibetan ༡༢༢༥༠༡ Khmer ១២២៥០១ Lao ໑໒໒໕໐໑ Burmese ၁၂၂၅၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 122503, cousin with 122497.

Hex color
#01DE85
RGB(1, 222, 133)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.133.

Address
0.1.222.133
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.133

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 122,501 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 122501 first appears in π at position 594,383 of the decimal expansion (the 594,383ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.