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10113000064 = 27431837391
BaseRepresentation
bin10010110101100100…
…00010001010000000
3222002210101122001221
421122302002022000
5131202412000224
64351300404424
7505416040126
oct113262021200
928083348057
1010113000064
11431a5856a2
121b629a6714
13c5223320b
146bd179916
153e2c7e6e4
hex25ac82280

10113000064 has 32 divisors (see below), whose sum is σ = 20615538240. Its totient is φ = 4938904320.

The previous prime is 10113000049. The next prime is 10113000067. The reversal of 10113000064 is 46000031101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10113000067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 913192 + ... + 924199.

It is an arithmetic number, because the mean of its divisors is an integer number (644235570).

Almost surely, 210113000064 is an apocalyptic number.

It is an amenable number.

10113000064 is an abundant number, since it is smaller than the sum of its proper divisors (10502538176).

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

10113000064 is an equidigital number, since it uses as much as digits as its factorization.

10113000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837448 (or 1837436 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10113000064 its reverse (46000031101), we get a palindrome (56113031165).

The spelling of 10113000064 in words is "ten billion, one hundred thirteen million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2752 5504 1837391 3674782 7349564 14699128 29398256 58796512 79007813 117593024 158015626 235186048 316031252 632062504 1264125008 2528250016 5056500032 10113000064