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12520114435631 = 1117219207283231
BaseRepresentation
bin1011011000110001000011…
…1110010011011000101111
31122022220121022011000110102
42312030100332103120233
53120112143243420011
642343354451301315
72431356051533345
oct266142076233057
948286538130412
1012520114435631
113a97829222520
1214a2594baa83b
136ca845b4157a
14313d96395995
1516aa2487673b
hexb6310f9362f

12520114435631 has 24 divisors (see below), whose sum is σ = 15272628533760. Its totient is φ = 10148586940800.

The previous prime is 12520114435589. The next prime is 12520114435637. The reversal of 12520114435631 is 13653441102521.

It is not a de Polignac number, because 12520114435631 - 214 = 12520114419247 is a prime.

It is a super-2 number, since 2×125201144356312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12520114435637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103581215 + ... + 103702016.

It is an arithmetic number, because the mean of its divisors is an integer number (636359522240).

Almost surely, 212520114435631 is an apocalyptic number.

12520114435631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12520114435631 is a deficient number, since it is larger than the sum of its proper divisors (2752514098129).

12520114435631 is a wasteful number, since it uses less digits than its factorization.

12520114435631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207283295 (or 207283278 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 12520114435631 in words is "twelve trillion, five hundred twenty billion, one hundred fourteen million, four hundred thirty-five thousand, six hundred thirty-one".

Divisors: 1 11 17 19 187 209 289 323 3179 3553 5491 60401 207283231 2280115541 3523814927 3938381389 38761964197 43322195279 59904853759 66952483613 658953391349 736477319743 1138192221421 12520114435631