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13345400120 = 23513191350749
BaseRepresentation
bin11000110110111001…
…01010010100111000
31021110001201120100112
430123130222110320
5204312410300440
610044130123452
7651466013033
oct143334522470
937401646315
1013345400120
1157291486a8
122705420588
131348b07280
1490859a01a
1553192c965
hex31b72a538

13345400120 has 64 divisors (see below), whose sum is σ = 34038900000. Its totient is φ = 4668185088.

The previous prime is 13345400113. The next prime is 13345400161. The reversal of 13345400120 is 2100454331.

13345400120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665495 + ... + 685254.

Almost surely, 213345400120 is an apocalyptic number.

13345400120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13345400120 is an abundant number, since it is smaller than the sum of its proper divisors (20693499880).

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

13345400120 is a wasteful number, since it uses less digits than its factorization.

13345400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350792 (or 1350788 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 13345400120 its reverse (2100454331), we get a palindrome (15445854451).

The spelling of 13345400120 in words is "thirteen billion, three hundred forty-five million, four hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 4940 9880 1350749 2701498 5402996 6753745 10805992 13507490 17559737 25664231 27014980 35119474 51328462 54029960 70238948 87798685 102656924 128321155 140477896 175597370 205313848 256642310 333635003 351194740 513284620 667270006 702389480 1026569240 1334540012 1668175015 2669080024 3336350030 6672700060 13345400120