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13534435431 = 32111311043599
BaseRepresentation
bin11001001101011011…
…10001100001100111
31021221020102120001100
430212231301201213
5210204303413211
610115001531143
7656252542266
oct144655614147
937836376040
1013534435431
115815921730
1227587a3ab3
13137902289a
149257265dd
1554331d156
hex326b71867

13534435431 has 24 divisors (see below), whose sum is σ = 21489811200. Its totient is φ = 8140064400.

The previous prime is 13534435429. The next prime is 13534435477. The reversal of 13534435431 is 13453443531.

13534435431 is a `hidden beast` number, since 1 + 3 + 534 + 43 + 54 + 31 = 666.

It is not a de Polignac number, because 13534435431 - 21 = 13534435429 is a prime.

It is a super-2 number, since 2×135344354312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13534431431) 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, 508831 + ... + 534768.

It is an arithmetic number, because the mean of its divisors is an integer number (895408800).

Almost surely, 213534435431 is an apocalyptic number.

13534435431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13534435431 is a deficient number, since it is larger than the sum of its proper divisors (7955375769).

13534435431 is a wasteful number, since it uses less digits than its factorization.

13534435431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043747 (or 1043744 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

Adding to 13534435431 its reverse (13453443531), we get a palindrome (26987878962).

The spelling of 13534435431 in words is "thirteen billion, five hundred thirty-four million, four hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 131 393 1179 1441 4323 12969 1043599 3130797 9392391 11479589 34438767 103316301 136711469 410134407 1230403221 1503826159 4511478477 13534435431