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13401610431 = 311236919037
BaseRepresentation
bin11000111101100110…
…00101100010111111
31021120222111100101220
430132303011202333
5204421303013211
610053455004423
7653050544346
oct143663054277
937528440356
1013401610431
115757950300
122720209713
131357658301
14911c2cb5d
15536832806
hex31ecc58bf

13401610431 has 12 divisors (see below), whose sum is σ = 19640928216. Its totient is φ = 8122187920.

The previous prime is 13401610421. The next prime is 13401610433.

13401610431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13401610431 - 27 = 13401610303 is a prime.

It is a super-2 number, since 2×134016104312 (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 (13401610433) 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, 18459156 + ... + 18459881.

It is an arithmetic number, because the mean of its divisors is an integer number (1636744018).

Almost surely, 213401610431 is an apocalyptic number.

13401610431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13401610431 is a deficient number, since it is larger than the sum of its proper divisors (6239317785).

13401610431 is a wasteful number, since it uses less digits than its factorization.

13401610431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36919062 (or 36919051 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 13401610431 in words is "thirteen billion, four hundred one million, six hundred ten thousand, four hundred thirty-one".

Divisors: 1 3 11 33 121 363 36919037 110757111 406109407 1218328221 4467203477 13401610431