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13323132120 = 23351952311173
BaseRepresentation
bin11000110100001111…
…01101110011011000
31021101111211020101210
430122013231303120
5204241210211440
610042012543120
7651105516534
oct143207556330
937344736353
1013323132120
1157176193a1
1226b9a81aa0
13134430b73c
14905640bc4
1552e9cea80
hex31a1edcd8

13323132120 has 128 divisors (see below), whose sum is σ = 42157267200. Its totient is φ = 3359107584.

The previous prime is 13323132047. The next prime is 13323132127. The reversal of 13323132120 is 2123132331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323132127) 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, 1186854 + ... + 1198026.

It is an arithmetic number, because the mean of its divisors is an integer number (329353650).

Almost surely, 213323132120 is an apocalyptic number.

13323132120 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 13323132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21078633600).

13323132120 is an abundant number, since it is smaller than the sum of its proper divisors (28834135080).

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

13323132120 is a wasteful number, since it uses less digits than its factorization.

13323132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11729 (or 11725 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13323132120 its reverse (2123132331), we get a palindrome (15446264451).

The spelling of 13323132120 in words is "thirteen billion, three hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 523 570 760 1046 1140 1569 2092 2280 2615 3138 4184 5230 6276 7845 9937 10460 11173 12552 15690 19874 20920 22346 29811 31380 33519 39748 44692 49685 55865 59622 62760 67038 79496 89384 99370 111730 119244 134076 149055 167595 198740 212287 223460 238488 268152 298110 335190 397480 424574 446920 596220 636861 670380 849148 1061435 1192440 1273722 1340760 1698296 2122870 2547444 3184305 4245740 5094888 5843479 6368610 8491480 11686958 12737220 17530437 23373916 25474440 29217395 35060874 46747832 58434790 70121748 87652185 111026101 116869580 140243496 175304370 222052202 233739160 333078303 350608740 444104404 555130505 666156606 701217480 888208808 1110261010 1332313212 1665391515 2220522020 2664626424 3330783030 4441044040 6661566060 13323132120