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10145316252 = 22316333715391
BaseRepresentation
bin10010111001011010…
…10011110110011100
3222012001012110112210
421130231103312130
5131234200110002
64354413200420
7506260523331
oct113455236634
928161173483
1010145316252
114336848295
121b71790110
13c58b39516
146c358c988
153e5a1496c
hex25cb53d9c

10145316252 has 48 divisors (see below), whose sum is σ = 23889861632. Its totient is φ = 3350833920.

The previous prime is 10145316229. The next prime is 10145316257. The reversal of 10145316252 is 25261354101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145316257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651477 + ... + 666867.

Almost surely, 210145316252 is an apocalyptic number.

10145316252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10145316252 is an abundant number, since it is smaller than the sum of its proper divisors (13744545380).

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

10145316252 is a wasteful number, since it uses less digits than its factorization.

10145316252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15898 (or 15896 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10145316252 in words is "ten billion, one hundred forty-five million, three hundred sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 163 326 337 489 652 674 978 1011 1348 1956 2022 4044 15391 30782 46173 54931 61564 92346 109862 164793 184692 219724 329586 659172 2508733 5017466 5186767 7526199 10034932 10373534 15052398 15560301 20747068 30104796 31120602 62241204 845443021 1690886042 2536329063 3381772084 5072658126 10145316252