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13236272401 = 112104592
BaseRepresentation
bin11000101001111000…
…10111110100010001
31021011110101022021011
430110330113310101
5204101441204101
610025231130521
7646002313312
oct142474276421
937143338234
1013236272401
115682592400
122694973a41
13132c318c61
148d7cb0609
15527073751
hex314f17d11

13236272401 has 9 divisors (see below), whose sum is σ = 14550351753. Its totient is φ = 12031824420.

The previous prime is 13236272393. The next prime is 13236272419. The reversal of 13236272401 is 10427263231.

It is a happy number.

The square root of 13236272401 is 115049.

It is a perfect power (a square), and thus also a powerful number.

13236272401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13236272401 - 23 = 13236272393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13236272801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1260310 + ... + 1270768.

Almost surely, 213236272401 is an apocalyptic number.

13236272401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13236272401 is the 115049-th square number.

13236272401 is the 57525-th centered octagonal number.

It is an amenable number.

13236272401 is a deficient number, since it is larger than the sum of its proper divisors (1314079352).

13236272401 is an frugal number, since it uses more digits than its factorization.

13236272401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20940 (or 10470 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 13236272401 in words is "thirteen billion, two hundred thirty-six million, two hundred seventy-two thousand, four hundred one".

Divisors: 1 11 121 10459 115049 1265539 109390681 1203297491 13236272401