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13114130034132 = 2232522016978437
BaseRepresentation
bin1011111011010101111100…
…0011111110110111010100
31201102200212021021222101200
42332311133003332313110
53204330214242043012
643520314223152500
72522315240030601
oct276653703766724
951380767258350
1013114130034132
1141a6742579656
121579733745730
13741870a04baa
14334a2792b6a8
1517b1de13d3dc
hexbed5f0fedd4

13114130034132 has 36 divisors (see below), whose sum is σ = 33150246263316. Its totient is φ = 4371292310400.

The previous prime is 13114130034029. The next prime is 13114130034133. The reversal of 13114130034132 is 23143003141131.

13114130034132 is a `hidden beast` number, since 1 + 3 + 1 + 14 + 1 + 300 + 341 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8559346004496 + 4554784029636 = 2925636^2 + 2134194^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 13114130034096 and 13114130034105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114130034133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1609983 + ... + 5368454.

It is an arithmetic number, because the mean of its divisors is an integer number (920840173981).

Almost surely, 213114130034132 is an apocalyptic number.

13114130034132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13114130034132 is an abundant number, since it is smaller than the sum of its proper divisors (20036116229184).

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

13114130034132 is a wasteful number, since it uses less digits than its factorization.

13114130034132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030648 (or 7030643 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13114130034132 its reverse (23143003141131), we get a palindrome (36257133175263).

The spelling of 13114130034132 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty million, thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 52201 104402 156603 208804 313206 469809 626412 939618 1879236 6978437 13956874 20935311 27913748 41870622 62805933 83741244 125611866 251223732 364281389837 728562779674 1092844169511 1457125559348 2185688339022 3278532508533 4371376678044 6557065017066 13114130034132