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13210120656 = 2433233735933
BaseRepresentation
bin11000100110110001…
…00111000111010000
31021002122011122211000
430103120213013100
5204023242330111
610022454422000
7645234113205
oct142330470720
937078148730
1013210120656
115669850197
122688061900
131326a90755
148d4623cac
15524b09c56
hex3136271d0

13210120656 has 160 divisors (see below), whose sum is σ = 40637041920. Its totient is φ = 4097972736.

The previous prime is 13210120549. The next prime is 13210120669. The reversal of 13210120656 is 65602101231.

13210120656 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 0 + 1 + 2 + 0 + 656 = 666.

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

It is a congruent number.

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, 349666 + ... + 385598.

It is an arithmetic number, because the mean of its divisors is an integer number (253981512).

Almost surely, 213210120656 is an apocalyptic number.

13210120656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13210120656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20318520960).

13210120656 is an abundant number, since it is smaller than the sum of its proper divisors (27426921264).

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

13210120656 is a wasteful number, since it uses less digits than its factorization.

13210120656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36010 (or 35998 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13210120656 its reverse (65602101231), we get a palindrome (78812221887).

The spelling of 13210120656 in words is "thirteen billion, two hundred ten million, one hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 37 46 48 54 69 72 74 92 108 111 138 144 148 184 207 216 222 276 296 333 368 414 432 444 552 592 621 666 828 851 888 999 1104 1242 1332 1656 1702 1776 1998 2484 2553 2664 3312 3404 3996 4968 5106 5328 6808 7659 7992 9936 10212 13616 15318 15984 20424 22977 30636 35933 40848 45954 61272 71866 91908 107799 122544 143732 183816 215598 287464 323397 367632 431196 574928 646794 826459 862392 970191 1293588 1329521 1652918 1724784 1940382 2479377 2587176 2659042 3305836 3880764 3988563 4958754 5174352 5318084 6611672 7438131 7761528 7977126 9917508 10636168 11965689 13223344 14876262 15523056 15954252 19835016 21272336 22314393 23931378 29752524 30578983 31908504 35897067 39670032 44628786 47862756 59505048 61157966 63817008 71794134 89257572 91736949 95725512 119010096 122315932 143588268 178515144 183473898 191451024 244631864 275210847 287176536 357030288 366947796 489263728 550421694 574353072 733895592 825632541 1100843388 1467791184 1651265082 2201686776 3302530164 4403373552 6605060328 13210120656