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13131326502 = 234729339521
BaseRepresentation
bin11000011101011000…
…00010010000100110
31020220010220111120000
430032230002100212
5203343104422002
610011001522130
7643256301510
oct141654022046
936803814500
1013131326502
115629322a58
1226657a3346
1313136631a8
148c7d92bb0
1551cc4361c
hex30eb02426

13131326502 has 80 divisors (see below), whose sum is σ = 33742935072. Its totient is φ = 3738908160.

The previous prime is 13131326459. The next prime is 13131326503. The reversal of 13131326502 is 20562313131.

13131326502 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 3 + 2 + 650 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131326503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 312502 + ... + 352022.

Almost surely, 213131326502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131326502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16871467536).

13131326502 is an abundant number, since it is smaller than the sum of its proper divisors (20611608570).

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

13131326502 is a wasteful number, since it uses less digits than its factorization.

13131326502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39835 (or 39826 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13131326502 its reverse (20562313131), we get a palindrome (33693639633).

The spelling of 13131326502 in words is "thirteen billion, one hundred thirty-one million, three hundred twenty-six thousand, five hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 293 378 567 586 879 1134 1758 2051 2637 4102 5274 6153 7911 12306 15822 18459 23733 36918 39521 47466 55377 79042 110754 118563 166131 237126 276647 332262 355689 553294 711378 829941 1067067 1659882 2134134 2489823 3201201 4979646 6402402 7469469 11579653 14938938 22408407 23159306 34738959 44816814 69477918 81057571 104216877 162115142 208433754 243172713 312650631 486345426 625301262 729518139 937951893 1459036278 1875903786 2188554417 4377108834 6565663251 13131326502