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12101011022009 = 71361103131161563
BaseRepresentation
bin1011000000010111110001…
…1101101010000010111001
31120211211211021010200111202
42300011330131222002321
53041230332310201014
641423043330503545
72356161222356030
oct260057435520271
946754737120452
1012101011022009
113946012281788
121435310134bb5
1369a1747c82b0
142db999019717
1515eb95cb73de
hexb017c76a0b9

12101011022009 has 64 divisors (see below), whose sum is σ = 15401448910848. Its totient is φ = 9254788358400.

The previous prime is 12101011021963. The next prime is 12101011022021. The reversal of 12101011022009 is 90022011010121.

It is a de Polignac number, because none of the positive numbers 2k-12101011022009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12101011022059) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74818862 + ... + 74980424.

It is an arithmetic number, because the mean of its divisors is an integer number (240647639232).

Almost surely, 212101011022009 is an apocalyptic number.

It is an amenable number.

12101011022009 is a deficient number, since it is larger than the sum of its proper divisors (3300437888839).

12101011022009 is a wasteful number, since it uses less digits than its factorization.

12101011022009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161878.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 12101011022009 in words is "twelve trillion, one hundred one billion, eleven million, twenty-two thousand, nine".

Divisors: 1 7 13 61 91 103 131 427 721 793 917 1339 1703 5551 6283 7991 9373 11921 13493 43981 55937 81679 94451 103883 161563 175409 571753 727181 823073 1130941 1227863 2100319 5761511 9855343 10699949 14702233 16640989 21164753 68987401 74899643 116486923 128119459 148153271 216332857 275141789 896836213 1015100329 1291049933 1514329999 1925992523 2179969559 7105702303 9037349531 13196304277 15259786913 16783649129 28339604267 92374129939 117485543903 132978143099 198377229869 930847001693 1728715860287 12101011022009