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13531202145 = 335573717471
BaseRepresentation
bin11001001101000010…
…11100001001100001
31021221000100021211000
430212201130021201
5210202441432040
610114404342213
7656213214636
oct144641341141
937830307730
1013531202145
11581401349a
1227576a4969
13137845ccb6
1492512418d
15542dd0130
hex32685c261

13531202145 has 32 divisors (see below), whose sum is σ = 24061040640. Its totient is φ = 7214970240.

The previous prime is 13531202143. The next prime is 13531202171. The reversal of 13531202145 is 54120213531.

13531202145 is a `hidden beast` number, since 135 + 312 + 0 + 214 + 5 = 666.

It is not a de Polignac number, because 13531202145 - 21 = 13531202143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13531202141) 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, 765760 + ... + 783230.

It is an arithmetic number, because the mean of its divisors is an integer number (751907520).

Almost surely, 213531202145 is an apocalyptic number.

13531202145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13531202145 is a deficient number, since it is larger than the sum of its proper divisors (10529838495).

13531202145 is a wasteful number, since it uses less digits than its factorization.

13531202145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23222 (or 23216 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13531202145 in words is "thirteen billion, five hundred thirty-one million, two hundred two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 5737 17211 17471 28685 51633 52413 86055 87355 154899 157239 258165 262065 471717 774495 786195 2358585 100231127 300693381 501155635 902080143 1503466905 2706240429 4510400715 13531202145