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107003015691 = 31113241467963
BaseRepresentation
bin110001110100111100…
…0000111001000001011
3101020012020001101210020
41203221320013020023
53223120233000231
6121053445551523
710505430424605
oct1435170071013
9336166041706
10107003015691
114141a45a480
12188a31155a3
13a123630200
145271164175
152bb3e4c396
hex18e9e0720b

107003015691 has 48 divisors (see below), whose sum is σ = 172645022592. Its totient is φ = 58401657600.

The previous prime is 107003015659. The next prime is 107003015741. The reversal of 107003015691 is 196510300701.

It is a happy number.

It is not a de Polignac number, because 107003015691 - 25 = 107003015659 is a prime.

It is a super-2 number, since 2×1070030156912 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (107003015891) 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, 5325 + ... + 462638.

It is an arithmetic number, because the mean of its divisors is an integer number (3596771304).

Almost surely, 2107003015691 is an apocalyptic number.

107003015691 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107003015691 is a deficient number, since it is larger than the sum of its proper divisors (65642006901).

107003015691 is a wasteful number, since it uses less digits than its factorization.

107003015691 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468044 (or 468031 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The spelling of 107003015691 in words is "one hundred seven billion, three million, fifteen thousand, six hundred ninety-one".

Divisors: 1 3 11 13 33 39 41 123 143 169 429 451 507 533 1353 1599 1859 5577 5863 6929 17589 20787 76219 228657 467963 1403889 5147593 6083519 15442779 18250557 19186483 57559449 66918709 79085747 200756127 211051313 237257241 249424279 633153939 748272837 869943217 2609829651 2743667069 3242515627 8231001207 9727546881 35667671897 107003015691