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13248884231 = 112349313739
BaseRepresentation
bin11000101011011000…
…11110111000000111
31021012100010001102222
430111230132320013
5204113203243411
610030401322555
7646214441432
oct142554367007
937170101388
1013248884231
115689716900
12269903645b
131331b1358b
148d9834819
155282154db
hex315b1ee07

13248884231 has 12 divisors (see below), whose sum is σ = 14604597000. Its totient is φ = 12009890640.

The previous prime is 13248884179. The next prime is 13248884237.

13248884231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13248884231 - 230 = 12175142407 is a prime.

It is a super-2 number, since 2×132488842312 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13248884237) 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, 114641 + ... + 199098.

It is an arithmetic number, because the mean of its divisors is an integer number (1217049750).

Almost surely, 213248884231 is an apocalyptic number.

13248884231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13248884231 is a deficient number, since it is larger than the sum of its proper divisors (1355712769).

13248884231 is a wasteful number, since it uses less digits than its factorization.

13248884231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314110 (or 314099 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The spelling of 13248884231 in words is "thirteen billion, two hundred forty-eight million, eight hundred eighty-four thousand, two hundred thirty-one".

Divisors: 1 11 121 349 3839 42229 313739 3451129 37962419 109494911 1204444021 13248884231