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113157316305 = 3451125400071
BaseRepresentation
bin110100101100010110…
…0111001111011010001
3101211002010110021010000
41221120230321323101
53323221233110210
6123552254000213
711114100214155
oct1513054717321
9354063407100
10113157316305
1143a9839a630
1219b201a6069
13a8946724c7
14569665b065
152e243b3ac0
hex1a58b39ed1

113157316305 has 40 divisors (see below), whose sum is σ = 221285427264. Its totient is φ = 54864151200.

The previous prime is 113157316219. The next prime is 113157316319. The reversal of 113157316305 is 503613751311.

113157316305 is a `hidden beast` number, since 1 + 1 + 3 + 15 + 7 + 3 + 1 + 630 + 5 = 666.

It is not a de Polignac number, because 113157316305 - 29 = 113157315793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113157316305.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12695581 + ... + 12704490.

Almost surely, 2113157316305 is an apocalyptic number.

113157316305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113157316305 is a deficient number, since it is larger than the sum of its proper divisors (108128110959).

113157316305 is a wasteful number, since it uses less digits than its factorization.

113157316305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25400099 (or 25400090 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 113157316305 in words is "one hundred thirteen billion, one hundred fifty-seven million, three hundred sixteen thousand, three hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 891 1485 4455 25400071 76200213 127000355 228600639 279400781 381001065 685801917 838202343 1143003195 1397003905 2057405751 2514607029 3429009585 4191011715 7543821087 10287028755 12573035145 22631463261 37719105435 113157316305