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13201234431 = 371127576863
BaseRepresentation
bin11000100101101101…
…01101100111111111
31021002000110012012120
430102312231213333
5204014004000211
610021540134023
7645065432640
oct142266554777
937060405176
1013201234431
115664830900
122685097313
131324c9bb28
148d338d6c7
15523e51d06
hex312dad9ff

13201234431 has 48 divisors (see below), whose sum is σ = 22143593472. Its totient is φ = 6847727040.

The previous prime is 13201234429. The next prime is 13201234433. The reversal of 13201234431 is 13443210231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13201234429) and next prime (13201234433).

It is not a de Polignac number, because 13201234431 - 21 = 13201234429 is a prime.

It is a super-2 number, since 2×132012344312 (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 (13201234433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920106 + ... + 1926968.

It is an arithmetic number, because the mean of its divisors is an integer number (461324864).

Almost surely, 213201234431 is an apocalyptic number.

13201234431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13201234431 is a deficient number, since it is larger than the sum of its proper divisors (8942359041).

13201234431 is a wasteful number, since it uses less digits than its factorization.

13201234431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652 (or 7641 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13201234431 its reverse (13443210231), we get a palindrome (26644444662).

The spelling of 13201234431 in words is "thirteen billion, two hundred one million, two hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 121 231 363 757 847 2271 2541 5299 6863 8327 15897 20589 24981 48041 58289 75493 91597 144123 174867 226479 274791 528451 641179 830423 1585353 1923537 2491269 5195291 5812961 15585873 17438883 36367037 57148201 109101111 171444603 400037407 628630211 1200112221 1885890633 4400411477 13201234431