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10323634113 = 35134577151
BaseRepresentation
bin10011001110101011…
…00010011111000001
3222122110201221200000
421213111202133001
5132120322242423
64424223150213
7513554304432
oct114725423701
928573657600
1010323634113
114418471121
122001445369
13c86a71850
146dd129489
154064d9843
hex2675627c1

10323634113 has 48 divisors (see below), whose sum is σ = 16692539136. Its totient is φ = 6338217600.

The previous prime is 10323634109. The next prime is 10323634117. The reversal of 10323634113 is 31143632301.

10323634113 is a `hidden beast` number, since 1 + 0 + 3 + 23 + 634 + 1 + 1 + 3 = 666.

10323634113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10323634109) and next prime (10323634117).

It is not a de Polignac number, because 10323634113 - 22 = 10323634109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10323634117) 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 47 ways as a sum of consecutive naturals, for example, 1440088 + ... + 1447238.

It is an arithmetic number, because the mean of its divisors is an integer number (347761232).

Almost surely, 210323634113 is an apocalyptic number.

10323634113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10323634113 is a deficient number, since it is larger than the sum of its proper divisors (6368905023).

10323634113 is an equidigital number, since it uses as much as digits as its factorization.

10323634113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7636 (or 7624 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 10323634113 in words is "ten billion, three hundred twenty-three million, six hundred thirty-four thousand, one hundred thirteen".

Divisors: 1 3 9 13 27 39 81 117 243 351 457 1053 1371 3159 4113 5941 7151 12339 17823 21453 37017 53469 64359 92963 111051 160407 193077 278889 481221 579231 836667 1443663 1737693 2510001 3268007 7530003 9804021 22590009 29412063 42484091 88236189 127452273 264708567 382356819 794125701 1147070457 3441211371 10323634113