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13431513431 = 72918729837
BaseRepresentation
bin11001000001001010…
…01010000101010111
31021200001202120121102
430200211022011113
5210001431412211
610100443540315
7653562660200
oct144045120527
937601676542
1013431513431
115772814926
12272a22a69b
1313608c80ab
14915bb45a7
1553928ca3b
hex32094a157

13431513431 has 12 divisors (see below), whose sum is σ = 15626638008. Its totient is φ = 11511086832.

The previous prime is 13431513419. The next prime is 13431513457.

It is a happy number.

13431513431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13431513431 - 210 = 13431512407 is a prime.

It is a super-2 number, since 2×134315134312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13431513394 and 13431513403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431513131) 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, 435245 + ... + 465081.

It is an arithmetic number, because the mean of its divisors is an integer number (1302219834).

Almost surely, 213431513431 is an apocalyptic number.

13431513431 is a deficient number, since it is larger than the sum of its proper divisors (2195124577).

13431513431 is an equidigital number, since it uses as much as digits as its factorization.

13431513431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39038 (or 39031 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The spelling of 13431513431 in words is "thirteen billion, four hundred thirty-one million, five hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 7 49 9187 29837 64309 208859 450163 1462013 274112519 1918787633 13431513431