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13531124097 = 324140989657
BaseRepresentation
bin11001001101000010…
…01001000110000001
31021221000012022202100
430212201021012001
5210202431432342
610114402541013
7656212441251
oct144641110601
937830168670
1013531124097
115813a6a897
122757667769
13137843360a
14925103961
15542db6e4c
hex326849181

13531124097 has 24 divisors (see below), whose sum is σ = 20070839880. Its totient is φ = 8779115520.

The previous prime is 13531124081. The next prime is 13531124129. The reversal of 13531124097 is 79042113531.

13531124097 is a `hidden beast` number, since 13 + 5 + 311 + 240 + 97 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5531789376 + 7999334721 = 74376^2 + 89439^2 .

It is not a de Polignac number, because 13531124097 - 24 = 13531124081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13531124027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106093 + ... + 195749.

It is an arithmetic number, because the mean of its divisors is an integer number (836284995).

Almost surely, 213531124097 is an apocalyptic number.

It is an amenable number.

13531124097 is a deficient number, since it is larger than the sum of its proper divisors (6539715783).

13531124097 is a wasteful number, since it uses less digits than its factorization.

13531124097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90113 (or 90110 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 13531124097 in words is "thirteen billion, five hundred thirty-one million, one hundred twenty-four thousand, ninety-seven".

Divisors: 1 3 9 41 123 369 409 1227 3681 16769 50307 89657 150921 268971 806913 3675937 11027811 33083433 36669713 110009139 330027417 1503458233 4510374699 13531124097