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121,002

121,002 is a composite number, even.

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.).

121,002 (one hundred twenty-one thousand two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 43 × 67. Its proper divisors sum to 166,230, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D8AA.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
200,121
Square (n²)
14,641,484,004
Cube (n³)
1,771,648,847,452,008
Divisor count
32
σ(n) — sum of divisors
287,232
φ(n) — Euler's totient
33,264
Sum of prime factors
122

Primality

Prime factorization: 2 × 3 × 7 × 43 × 67

Nearest primes: 121,001 (−1) · 121,007 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 43 · 67 · 86 · 129 · 134 · 201 · 258 · 301 · 402 · 469 · 602 · 903 · 938 · 1407 · 1806 · 2814 · 2881 · 5762 · 8643 · 17286 · 20167 · 40334 · 60501 (half) · 121002
Aliquot sum (sum of proper divisors): 166,230
Factor pairs (a × b = 121,002)
1 × 121002
2 × 60501
3 × 40334
6 × 20167
7 × 17286
14 × 8643
21 × 5762
42 × 2881
43 × 2814
67 × 1806
86 × 1407
129 × 938
134 × 903
201 × 602
258 × 469
301 × 402
First multiples
121,002 · 242,004 (double) · 363,006 · 484,008 · 605,010 · 726,012 · 847,014 · 968,016 · 1,089,018 · 1,210,020

Sums & aliquot sequence

As consecutive integers: 40,333 + 40,334 + 40,335 30,249 + 30,250 + 30,251 + 30,252 17,283 + 17,284 + … + 17,289 10,078 + 10,079 + … + 10,089
Aliquot sequence: 121,002 166,230 266,202 336,582 446,778 521,280 1,281,612 1,708,844 1,378,324 1,153,996 865,504 1,030,544 1,035,916 1,035,972 1,957,564 1,992,004 1,992,060 — unresolved within range

Continued fraction of √n

√121,002 = [347; (1, 5, 1, 4, 1, 1, 1, 1, 1, 3, 5, 1, 1, 3, 16, 3, 1, 1, 5, 3, 1, 1, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand two
Ordinal
121002nd
Binary
11101100010101010
Octal
354252
Hexadecimal
0x1D8AA
Base64
Adiq
One's complement
4,294,846,293 (32-bit)
Scientific notation
1.21002 × 10⁵
As a duration
121,002 s = 1 day, 9 hours, 36 minutes, 42 seconds
In other bases
ternary (3) 20010222120
quaternary (4) 131202222
quinary (5) 12333002
senary (6) 2332110
septenary (7) 1012530
nonary (9) 203876
undecimal (11) 82a02
duodecimal (12) 5a036
tridecimal (13) 430cb
tetradecimal (14) 32150
pentadecimal (15) 25cbc

As an angle

121,002° = 336 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓏺𓏺
Greek (Milesian)
͵ρκαβʹ
Mayan (base 20)
𝋯·𝋢·𝋪·𝋢
Chinese
一十二萬一千零二
Chinese (financial)
壹拾貳萬壹仟零貳
In other modern scripts
Eastern Arabic ١٢١٠٠٢ Devanagari १२१००२ Bengali ১২১০০২ Tamil ௧௨௧௦௦௨ Thai ๑๒๑๐๐๒ Tibetan ༡༢༡༠༠༢ Khmer ១២១០០២ Lao ໑໒໑໐໐໒ Burmese ၁၂၁၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121002, here are decompositions:

  • 5 + 120997 = 121002
  • 59 + 120943 = 121002
  • 61 + 120941 = 121002
  • 73 + 120929 = 121002
  • 83 + 120919 = 121002
  • 103 + 120899 = 121002
  • 113 + 120889 = 121002
  • 131 + 120871 = 121002

Showing the first eight; more decompositions exist.

Unicode codepoint
𝢪
Signwriting Hand-Circle Index Middle Cross Little
U+1D8AA
Other symbol (So)

UTF-8 encoding: F0 9D A2 AA (4 bytes).

Hex color
#01D8AA
RGB(1, 216, 170)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.170.

Address
0.1.216.170
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.170

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 121,002 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 121002 first appears in π at position 254,459 of the decimal expansion (the 254,459ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.