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13522522131 = 335326935129
BaseRepresentation
bin11001001100000000…
…10101000000010011
31021220102000022002000
430212000111000103
5210143231202011
610113454325043
7656046353526
oct144600250023
937812008060
1013522522131
11580a125028
1227547b9783
1313767111b1
14923d04bbd
15542268356
hex326015013

13522522131 has 32 divisors (see below), whose sum is σ = 20487816000. Its totient is φ = 8811788544.

The previous prime is 13522522067. The next prime is 13522522147. The reversal of 13522522131 is 13122522531.

13522522131 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 2 + 522 + 131 = 666.

It is not a de Polignac number, because 13522522131 - 26 = 13522522067 is a prime.

It is a super-2 number, since 2×135225221312 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13522522095 and 13522522104.

It is not an unprimeable number, because it can be changed into a prime (13522522631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367375 + ... + 402503.

It is an arithmetic number, because the mean of its divisors is an integer number (640244250).

Almost surely, 213522522131 is an apocalyptic number.

13522522131 is a deficient number, since it is larger than the sum of its proper divisors (6965293869).

13522522131 is a wasteful number, since it uses less digits than its factorization.

13522522131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35460 (or 35454 counting only the distinct ones).

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

The spelling of 13522522131 in words is "thirteen billion, five hundred twenty-two million, five hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 53 159 269 477 807 1431 2421 7263 14257 35129 42771 105387 128313 316161 384939 948483 1861837 5585511 9449701 16756533 28349103 50269599 85047309 255141927 500834153 1502502459 4507507377 13522522131