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13312014114 = 2372296912003
BaseRepresentation
bin11000110010111010…
…10011011100100010
31021100201220101100210
430121131103130202
5204230333422424
610040534354550
7650612152530
oct143135233442
937321811323
1013312014114
115711315263
1226b61bba56
131341c18039
14903d89150
1552da35729
hex319753722

13312014114 has 64 divisors (see below), whose sum is σ = 30619837440. Its totient is φ = 3779455680.

The previous prime is 13312014113. The next prime is 13312014127. The reversal of 13312014114 is 41141021331.

13312014114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13312014113) 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 31 ways as a sum of consecutive naturals, for example, 6645037 + ... + 6647039.

It is an arithmetic number, because the mean of its divisors is an integer number (478434960).

Almost surely, 213312014114 is an apocalyptic number.

13312014114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13312014114 is an abundant number, since it is smaller than the sum of its proper divisors (17307823326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13312014114 is a wasteful number, since it uses less digits than its factorization.

13312014114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13312014114 its reverse (41141021331), we get a palindrome (54453035445).

The spelling of 13312014114 in words is "thirteen billion, three hundred twelve million, fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 229 458 687 691 1374 1382 1603 2003 2073 3206 4006 4146 4809 4837 6009 9618 9674 12018 14021 14511 28042 29022 42063 84126 158239 316478 458687 474717 917374 949434 1107673 1376061 1384073 2215346 2752122 2768146 3210809 3323019 4152219 6421618 6646038 8304438 9632427 9688511 19264854 19377022 29065533 58131066 316952717 633905434 950858151 1901716302 2218669019 4437338038 6656007057 13312014114