Search a number
-
+
13021345656 = 23321143382351
BaseRepresentation
bin11000010000010000…
…11111011101111000
31020121110221220012100
430020020133131320
5203131431030111
65552032343400
7640452416604
oct141010373570
936543856170
1013021345656
1155822347a0
1226349a4b60
1312c6936777
148b7524504
1551326b756
hex30821f778

13021345656 has 96 divisors (see below), whose sum is σ = 39366961920. Its totient is φ = 3854088000.

The previous prime is 13021345643. The next prime is 13021345661. The reversal of 13021345656 is 65654312031.

13021345656 is a `hidden beast` number, since 1 + 302 + 1 + 345 + 6 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13021345656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157120 + ... + 225231.

It is an arithmetic number, because the mean of its divisors is an integer number (410072520).

Almost surely, 213021345656 is an apocalyptic number.

It is an amenable number.

13021345656 is an abundant number, since it is smaller than the sum of its proper divisors (26345616264).

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

13021345656 is a wasteful number, since it uses less digits than its factorization.

13021345656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382417 (or 382410 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13021345656 its reverse (65654312031), we get a palindrome (78675657687).

The spelling of 13021345656 in words is "thirteen billion, twenty-one million, three hundred forty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1032 1419 1548 1892 2838 3096 3784 4257 5676 8514 11352 17028 34056 382351 764702 1147053 1529404 2294106 3058808 3441159 4205861 4588212 6882318 8411722 9176424 12617583 13764636 16441093 16823444 25235166 27529272 32882186 33646888 37852749 49323279 50470332 65764372 75705498 98646558 100940664 131528744 147969837 151410996 180852023 197293116 295939674 302821992 361704046 394586232 542556069 591879348 723408092 1085112138 1183758696 1446816184 1627668207 2170224276 3255336414 4340448552 6510672828 13021345656