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13413031431 = 337139869339
BaseRepresentation
bin11000111110111101…
…01001111000000111
31021121202222121001220
430133132221320013
5204432214001211
610054543451423
7653246612622
oct143736517007
937552877056
1013413031431
115763341048
122723bb6b73
131359b268b7
14913562db9
1553783b806
hex31f7a9e07

13413031431 has 16 divisors (see below), whose sum is σ = 18499555200. Its totient is φ = 8637742368.

The previous prime is 13413031403. The next prime is 13413031441.

13413031431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13413031431 - 215 = 13412998663 is a prime.

It is a super-2 number, since 2×134130314312 (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 (13413031441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419241 + ... + 450098.

It is an arithmetic number, because the mean of its divisors is an integer number (1156222200).

Almost surely, 213413031431 is an apocalyptic number.

13413031431 is a deficient number, since it is larger than the sum of its proper divisors (5086523769).

13413031431 is a wasteful number, since it uses less digits than its factorization.

13413031431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869518.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 134130 and 31431, that added together give a palindrome (165561).

The spelling of 13413031431 in words is "thirteen billion, four hundred thirteen million, thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 37 111 139 417 5143 15429 869339 2608017 32165543 96496629 120838121 362514363 4471010477 13413031431