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13121153541 = 321818054729
BaseRepresentation
bin11000011100001010…
…01110101000000101
31020212102202122212200
430032011032220011
5203333003403131
610005555505113
7643103651646
oct141605165005
936772678780
1013121153541
115623604951
1226622b8199
1313115109a2
148c68a56cd
1551bdd42e6
hex30e14ea05

13121153541 has 12 divisors (see below), whose sum is σ = 19057491180. Its totient is φ = 8699106240.

The previous prime is 13121153531. The next prime is 13121153543. The reversal of 13121153541 is 14535112131.

13121153541 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 115 + 3 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3610808100 + 9510345441 = 60090^2 + 97521^2 .

It is not a de Polignac number, because 13121153541 - 26 = 13121153477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121153543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4025736 + ... + 4028993.

It is an arithmetic number, because the mean of its divisors is an integer number (1588124265).

Almost surely, 213121153541 is an apocalyptic number.

It is an amenable number.

13121153541 is a deficient number, since it is larger than the sum of its proper divisors (5936337639).

13121153541 is a wasteful number, since it uses less digits than its factorization.

13121153541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8054916 (or 8054913 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

Adding to 13121153541 its reverse (14535112131), we get a palindrome (27656265672).

The spelling of 13121153541 in words is "thirteen billion, one hundred twenty-one million, one hundred fifty-three thousand, five hundred forty-one".

Divisors: 1 3 9 181 543 1629 8054729 24164187 72492561 1457905949 4373717847 13121153541