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13132724130 = 2335371314587
BaseRepresentation
bin11000011101100010…
…10111011110100010
31020220020112111202000
430032301113132202
5203343434133010
610011051504430
7643304212311
oct141661273642
936806474660
1013132724130
11562a098019
122666158116
131313a323a6
148c8238278
1551ce1c7c0
hex30ec577a2

13132724130 has 64 divisors (see below), whose sum is σ = 35967127680. Its totient is φ = 3407406912.

The previous prime is 13132724117. The next prime is 13132724141. The reversal of 13132724130 is 3142723131.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13132724094 and 13132724103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647304 + ... + 667283.

It is an arithmetic number, because the mean of its divisors is an integer number (561986370).

Almost surely, 213132724130 is an apocalyptic number.

13132724130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13132724130 is an abundant number, since it is smaller than the sum of its proper divisors (22834403550).

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

13132724130 is a wasteful number, since it uses less digits than its factorization.

13132724130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314640 (or 1314634 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Subtracting from 13132724130 its reverse (3142723131), we obtain a palindrome (9990000999).

The spelling of 13132724130 in words is "thirteen billion, one hundred thirty-two million, seven hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 1314587 2629174 3943761 6572935 7887522 11831283 13145870 19718805 23662566 35493849 39437610 48639719 59156415 70987698 97279438 118312830 145919157 177469245 243198595 291838314 354938490 437757471 486397190 729595785 875514942 1313272413 1459191570 2188787355 2626544826 4377574710 6566362065 13132724130