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10113000315 = 351125994439
BaseRepresentation
bin10010110101100100…
…00010001101111011
3222002210101122102020
421122302002031323
5131202412002230
64351300405523
7505416040635
oct113262021573
928083348366
1010113000315
11431a585900
121b629a68a3
13c52233372
146bd179a55
153e2c7e810
hex25ac8237b

10113000315 has 48 divisors (see below), whose sum is σ = 18087148800. Its totient is φ = 4820115520.

The previous prime is 10113000281. The next prime is 10113000343. The reversal of 10113000315 is 51300031101.

10113000315 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 10113000315 - 26 = 10113000251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 10113000294 and 10113000303.

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 47 ways as a sum of consecutive naturals, for example, 59866 + ... + 154304.

It is an arithmetic number, because the mean of its divisors is an integer number (376815600).

Almost surely, 210113000315 is an apocalyptic number.

10113000315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10113000315 is a deficient number, since it is larger than the sum of its proper divisors (7974148485).

10113000315 is a wasteful number, since it uses less digits than its factorization.

10113000315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94528 (or 94517 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

Adding to 10113000315 its reverse (51300031101), we get a palindrome (61413031416).

The spelling of 10113000315 in words is "ten billion, one hundred thirteen million, three hundred fifteen", and thus it is an aban number.

Divisors: 1 3 5 11 15 33 55 59 121 165 177 295 363 605 649 885 1815 1947 3245 7139 9735 21417 35695 94439 107085 283317 472195 1038829 1416585 3116487 5194145 5571901 11427119 15582435 16715703 27859505 34281357 57135595 61290911 83578515 171406785 183872733 306454555 674200021 919363665 2022600063 3371000105 10113000315