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107107052052 = 223711138916671
BaseRepresentation
bin110001111000000010…
…0111110101000010100
3101020110110210222211210
41203300010332220110
53223323401131202
6121112043501420
710511132630610
oct1436004765024
9336413728753
10107107052052
1141473158540
1218911b27870
13a13c057ca0
145280cc6340
152bbd14cc6c
hex18f013ea14

107107052052 has 96 divisors (see below), whose sum is σ = 335552200704. Its totient is φ = 25680009600.

The previous prime is 107107052029. The next prime is 107107052053. The reversal of 107107052052 is 250250701701.

It is a super-2 number, since 2×1071070520522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107107052053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4446324 + ... + 4470347.

It is an arithmetic number, because the mean of its divisors is an integer number (3495335424).

Almost surely, 2107107052052 is an apocalyptic number.

107107052052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107107052052 is an abundant number, since it is smaller than the sum of its proper divisors (228445148652).

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

107107052052 is a wasteful number, since it uses less digits than its factorization.

107107052052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8916709 (or 8916707 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

Adding to 107107052052 its reverse (250250701701), we get a palindrome (357357753753).

The spelling of 107107052052 in words is "one hundred seven billion, one hundred seven million, fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 8916671 17833342 26750013 35666684 53500026 62416697 98083381 107000052 115916723 124833394 187250091 196166762 231833446 249666788 294250143 347750169 374500182 392333524 463666892 588500286 686583667 695500338 749000364 811417061 1177000572 1275083953 1373167334 1391000676 1622834122 2059751001 2434251183 2550167906 2746334668 3245668244 3825251859 4119502002 4868502366 5100335812 7650503718 8239004004 8925587671 9737004732 15301007436 17851175342 26776763013 35702350684 53553526026 107107052052