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13401313431 = 3111273197641
BaseRepresentation
bin11000111101100011…
…11101000010010111
31021120221221020222220
430132301331002113
5204421214012211
610053444353423
7653045166432
oct143661750227
937527836886
1013401313431
115757768150
1227200a5873
13135758307c
14911b92819
155367c4806
hex31ec7d097

13401313431 has 16 divisors (see below), whose sum is σ = 19646312448. Its totient is φ = 8058052800.

The previous prime is 13401313427. The next prime is 13401313433. The reversal of 13401313431 is 13431310431.

It is not a de Polignac number, because 13401313431 - 22 = 13401313427 is a prime.

It is a super-2 number, since 2×134013134312 (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 (13401313433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1594630 + ... + 1603011.

It is an arithmetic number, because the mean of its divisors is an integer number (1227894528).

Almost surely, 213401313431 is an apocalyptic number.

13401313431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13401313431 is a deficient number, since it is larger than the sum of its proper divisors (6244999017).

13401313431 is a wasteful number, since it uses less digits than its factorization.

13401313431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197782.

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

Adding to 13401313431 its reverse (13431310431), we get a palindrome (26832623862).

The spelling of 13401313431 in words is "thirteen billion, four hundred one million, three hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 11 33 127 381 1397 4191 3197641 9592923 35174051 105522153 406100407 1218301221 4467104477 13401313431