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13105324102320 = 243452022426559
BaseRepresentation
bin1011111010110101001000…
…1100000001001010110000
31201101212010120101021220000
42332231102030001022300
53204204200432233240
643512300333350000
72521554101610162
oct276552214011260
951355116337800
1013105324102320
1141a2a3388975a
121577a96638300
13740a99512c58
143344301d2932
1517ad75ee8430
hexbeb523012b0

13105324102320 has 100 divisors (see below), whose sum is σ = 45516732159360. Its totient is φ = 3494753092224.

The previous prime is 13105324102309. The next prime is 13105324102327. The reversal of 13105324102320 is 2320142350131.

13105324102320 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 324 + 10 + 2 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13105324102327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1011206800 + ... + 1011219759.

Almost surely, 213105324102320 is an apocalyptic number.

13105324102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105324102320 is an abundant number, since it is smaller than the sum of its proper divisors (32411408057040).

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

13105324102320 is a wasteful number, since it uses less digits than its factorization.

13105324102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022426584 (or 2022426569 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13105324102320 its reverse (2320142350131), we get a palindrome (15425466452451).

The spelling of 13105324102320 in words is "thirteen trillion, one hundred five billion, three hundred twenty-four million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 2022426559 4044853118 6067279677 8089706236 10112132795 12134559354 16179412472 18201839031 20224265590 24269118708 30336398385 32358824944 36403678062 40448531180 48538237416 54605517093 60672796770 72807356124 80897062360 91009195155 97076474832 109211034186 121345593540 145614712248 161794124720 163816551279 182018390310 218422068372 242691187080 273027585465 291229424496 327633102558 364036780620 436844136744 485382374160 546055170930 655266205116 728073561240 819082756395 873688273488 1092110341860 1310532410232 1456147122480 1638165512790 2184220683720 2621064820464 3276331025580 4368441367440 6552662051160 13105324102320