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311432024013 = 31131304430131
BaseRepresentation
bin1001000100000101100…
…10111000111111001101
31002202212020022000111220
410202002302320333031
520100303044232023
6355023033033553
731333401345405
oct4420262707715
91082766260456
10311432024013
11110094293130
1250435b558b9
13234a23cab66
1411105551805
15817b13a3e3
hex4882cb8fcd

311432024013 has 16 divisors (see below), whose sum is σ = 467604682752. Its totient is φ = 182658078000.

The previous prime is 311432023939. The next prime is 311432024017. The reversal of 311432024013 is 310420234113.

It is a happy number.

It is not a de Polignac number, because 311432024013 - 216 = 311431958477 is a prime.

It is a super-3 number, since 3×3114320240133 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311432024017) 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, 152214043 + ... + 152216088.

It is an arithmetic number, because the mean of its divisors is an integer number (29225292672).

Almost surely, 2311432024013 is an apocalyptic number.

311432024013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311432024013 is a deficient number, since it is larger than the sum of its proper divisors (156172658739).

311432024013 is a wasteful number, since it uses less digits than its factorization.

311432024013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304430176.

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

Adding to 311432024013 its reverse (310420234113), we get a palindrome (621852258126).

The spelling of 311432024013 in words is "three hundred eleven billion, four hundred thirty-two million, twenty-four thousand, thirteen".

Divisors: 1 3 11 31 33 93 341 1023 304430131 913290393 3348731441 9437334061 10046194323 28312002183 103810674671 311432024013