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13120643430 = 23255314231933
BaseRepresentation
bin11000011100000110…
…10010000101100110
31020212101210202010200
430032003102011212
5203332341042210
610005540531330
7643066425516
oct141603220546
936771722120
1013120643430
115623296674
1226620b0b46
13131139274b
148c67b1846
1551bd330c0
hex30e0d2166

13120643430 has 96 divisors (see below), whose sum is σ = 34799746176. Its totient is φ = 3428635392.

The previous prime is 13120643423. The next prime is 13120643441. The reversal of 13120643430 is 3434602131.

13120643430 is a `hidden beast` number, since 1 + 3 + 12 + 0 + 643 + 4 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13120643394 and 13120643403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6786744 + ... + 6788676.

It is an arithmetic number, because the mean of its divisors is an integer number (362497356).

Almost surely, 213120643430 is an apocalyptic number.

13120643430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120643430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17399873088).

13120643430 is an abundant number, since it is smaller than the sum of its proper divisors (21679102746).

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

13120643430 is a wasteful number, since it uses less digits than its factorization.

13120643430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 13120643430 in words is "thirteen billion, one hundred twenty million, six hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1423 1590 1933 2385 2846 3866 4269 4770 5799 7115 8538 9665 11598 12807 14230 17397 19330 21345 25614 28995 34794 42690 57990 64035 75419 86985 102449 128070 150838 173970 204898 226257 307347 377095 452514 512245 614694 678771 754190 922041 1024490 1131285 1357542 1536735 1844082 2262570 2750659 3073470 3393855 4610205 5501318 6787710 8251977 9220410 13753295 16503954 24755931 27506590 41259885 49511862 82519770 123779655 145784927 247559310 291569854 437354781 728924635 874709562 1312064343 1457849270 2186773905 2624128686 4373547810 6560321715 13120643430