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10345054113 = 3231411277121
BaseRepresentation
bin10011010001001110…
…01111111110100001
3222200222001012101100
421220213033332201
5132141313212423
64430310225013
7514234336422
oct115047177641
928628035340
1010345054113
1144295712a9
122008655169
13c8b3313c4
14701d03649
1540831b343
hex2689cffa1

10345054113 has 48 divisors (see below), whose sum is σ = 15927754752. Its totient is φ = 6459264000.

The previous prime is 10345054073. The next prime is 10345054121. The reversal of 10345054113 is 31145054301.

It is a happy number.

10345054113 is a `hidden beast` number, since 10 + 34 + 505 + 4 + 113 = 666.

It is not a de Polignac number, because 10345054113 - 28 = 10345053857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10345054123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449193 + ... + 1456313.

It is an arithmetic number, because the mean of its divisors is an integer number (331828224).

Almost surely, 210345054113 is an apocalyptic number.

It is an amenable number.

10345054113 is a deficient number, since it is larger than the sum of its proper divisors (5582700639).

10345054113 is a wasteful number, since it uses less digits than its factorization.

10345054113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7326 (or 7323 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10345054113 in words is "ten billion, three hundred forty-five million, fifty-four thousand, one hundred thirteen".

Divisors: 1 3 9 31 41 93 123 127 279 369 381 1143 1271 3813 3937 5207 7121 11439 11811 15621 21363 35433 46863 64089 161417 220751 291961 484251 662253 875883 904367 1452753 1986759 2627649 2713101 8139303 9050791 27152373 28035377 37079047 81457119 84106131 111237141 252318393 333711423 1149450457 3448351371 10345054113