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10031110032 = 2431712293027
BaseRepresentation
bin10010101011110011…
…01001011110010000
3221220002022012001210
421111321221132100
5131020431010112
64335213300120
7503403012516
oct112571513620
927802265053
1010031110032
114288333489
121b3b494640
13c3b290788
146b23404b6
153da9a5b3c
hex255e69790

10031110032 has 40 divisors (see below), whose sum is σ = 27438038496. Its totient is φ = 3147014656.

The previous prime is 10031109973. The next prime is 10031110039. The reversal of 10031110032 is 23001113001.

10031110032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10031110039) 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 7 ways as a sum of consecutive naturals, for example, 6145698 + ... + 6147329.

Almost surely, 210031110032 is an apocalyptic number.

10031110032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10031110032 is an abundant number, since it is smaller than the sum of its proper divisors (17406928464).

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

10031110032 is a wasteful number, since it uses less digits than its factorization.

10031110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12293055 (or 12293049 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10031110032 its reverse (23001113001), we get a palindrome (33032223033).

The spelling of 10031110032 in words is "ten billion, thirty-one million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 12293027 24586054 36879081 49172108 73758162 98344216 147516324 196688432 208981459 295032648 417962918 590065296 626944377 835925836 1253888754 1671851672 2507777508 3343703344 5015555016 10031110032