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13319311720 = 23511134215531
BaseRepresentation
bin11000110011110010…
…01001000101101000
31021101020122010210111
430121321021011220
5204234220433340
610041355024104
7651031165411
oct143171110550
937336563714
1013319311720
11571544a040
1226b873b034
1313435a1850
14904d28808
1552e4c7aea
hex319e49168

13319311720 has 128 divisors (see below), whose sum is σ = 35297700480. Its totient is φ = 4459392000.

The previous prime is 13319311711. The next prime is 13319311721. The reversal of 13319311720 is 2711391331.

It is not an unprimeable number, because it can be changed into a prime (13319311721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2405355 + ... + 2410885.

It is an arithmetic number, because the mean of its divisors is an integer number (275763285).

Almost surely, 213319311720 is an apocalyptic number.

13319311720 is a gapful number since it is divisible by the number (10) 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 13319311720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17648850240).

13319311720 is an abundant number, since it is smaller than the sum of its proper divisors (21978388760).

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

13319311720 is a wasteful number, since it uses less digits than its factorization.

13319311720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The spelling of 13319311720 in words is "thirteen billion, three hundred nineteen million, three hundred eleven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 421 440 520 572 715 842 1144 1430 1684 2105 2860 3368 4210 4631 5473 5531 5720 8420 9262 10946 11062 16840 18524 21892 22124 23155 27365 27655 37048 43784 44248 46310 54730 55310 60203 60841 71903 92620 109460 110620 120406 121682 143806 185240 218920 221240 240812 243364 287612 301015 304205 359515 481624 486728 575224 602030 608410 719030 790933 1204060 1216820 1438060 1581866 2328551 2408120 2433640 2876120 3163732 3954665 4657102 6327464 7909330 9314204 11642755 15818660 18628408 23285510 25614061 30271163 31637320 46571020 51228122 60542326 93142040 102456244 121084652 128070305 151355815 204912488 242169304 256140610 302711630 332982793 512281220 605423260 665965586 1024562440 1210846520 1331931172 1664913965 2663862344 3329827930 6659655860 13319311720