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10161339012 = 22321125659947
BaseRepresentation
bin10010111011010100…
…11011101010000100
3222020011100111122100
421131222123222010
5131302300322022
64400144432100
7506543646036
oct113552335204
928204314570
1010161339012
1143448a1440
121b77018630
13c5c259546
146c575dc56
153e712c1ac
hex25da9ba84

10161339012 has 36 divisors (see below), whose sum is σ = 28020663216. Its totient is φ = 3079193520.

The previous prime is 10161339007. The next prime is 10161339091. The reversal of 10161339012 is 21093316101.

10161339012 is a `hidden beast` number, since 1 + 0 + 1 + 613 + 39 + 0 + 12 = 666.

10161339012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×101613390122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12829578 + ... + 12830369.

It is an arithmetic number, because the mean of its divisors is an integer number (778351756).

Almost surely, 210161339012 is an apocalyptic number.

10161339012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10161339012 is an abundant number, since it is smaller than the sum of its proper divisors (17859324204).

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

10161339012 is a wasteful number, since it uses less digits than its factorization.

10161339012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25659968 (or 25659963 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

It can be divided in two parts, 101613 and 39012, that added together give a square (140625 = 3752).

The spelling of 10161339012 in words is "ten billion, one hundred sixty-one million, three hundred thirty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 25659947 51319894 76979841 102639788 153959682 230939523 282259417 307919364 461879046 564518834 846778251 923758092 1129037668 1693556502 2540334753 3387113004 5080669506 10161339012