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10012119975 = 32521113311177
BaseRepresentation
bin10010101001100010…
…01101001110100111
3221211202120101121100
421110301031032213
5131001100314400
64333254251143
7503052421104
oct112461151647
927752511540
1010012119975
114278642a20
121b35056ab3
13c37371c60
146ad9d9aab
153d8ea4100
hex254c4d3a7

10012119975 has 72 divisors (see below), whose sum is σ = 21067995312. Its totient is φ = 4480934400.

The previous prime is 10012119973. The next prime is 10012119979. The reversal of 10012119975 is 57991121001.

10012119975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012119975 - 21 = 10012119973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012119973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123414 + ... + 187763.

It is an arithmetic number, because the mean of its divisors is an integer number (292611046).

Almost surely, 210012119975 is an apocalyptic number.

10012119975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10012119975 is an abundant number, since it is smaller than the sum of its proper divisors (11055875337).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10012119975 is a wasteful number, since it uses less digits than its factorization.

10012119975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311217 (or 311209 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 36.

The spelling of 10012119975 in words is "ten billion, twelve million, one hundred nineteen thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 143 165 195 225 275 325 429 495 585 715 825 975 1287 2145 2475 2925 3575 6435 10725 32175 311177 933531 1555885 2800593 3422947 4045301 4667655 7779425 10268841 12135903 14002965 17114735 20226505 23338275 30806523 36407709 44498311 51344205 60679515 70014825 85573675 101132525 133494933 154032615 182038545 222491555 256721025 303397575 400484799 667474665 770163075 910192725 1112457775 2002423995 3337373325 10012119975