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13114521225 = 325213172311467
BaseRepresentation
bin11000011011010111…
…11011011010001001
31020211222021201001100
430031223323122021
5203324304134400
610005201412013
7642663406521
oct141553733211
936758251040
1013114521225
11561a8949a3
12266003a009
13131002ac40
148c5a5a681
1551b524100
hex30dafb689

13114521225 has 144 divisors (see below), whose sum is σ = 27951460992. Its totient is φ = 5811886080.

The previous prime is 13114521209. The next prime is 13114521227. The reversal of 13114521225 is 52212541131.

It is a happy number.

13114521225 is a `hidden beast` number, since 1 + 3 + 114 + 521 + 2 + 25 = 666.

It is not a de Polignac number, because 13114521225 - 24 = 13114521209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13114521227) 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 143 ways as a sum of consecutive naturals, for example, 1137942 + ... + 1149408.

It is an arithmetic number, because the mean of its divisors is an integer number (194107368).

Almost surely, 213114521225 is an apocalyptic number.

13114521225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13114521225 is an abundant number, since it is smaller than the sum of its proper divisors (14836939767).

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

13114521225 is a wasteful number, since it uses less digits than its factorization.

13114521225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11536 (or 11528 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The spelling of 13114521225 in words is "thirteen billion, one hundred fourteen million, five hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 23 25 39 45 51 65 69 75 85 115 117 153 195 207 221 225 255 299 325 345 391 425 575 585 663 765 897 975 1035 1105 1173 1275 1495 1725 1955 1989 2691 2925 3315 3519 3825 4485 5083 5175 5525 5865 7475 9775 9945 11467 13455 15249 16575 17595 22425 25415 29325 34401 45747 49725 57335 67275 76245 87975 103203 127075 149071 172005 194939 228735 263741 286675 381225 447213 516015 584817 745355 791223 860025 974695 1143675 1318705 1341639 1754451 2236065 2373669 2534207 2580075 2924085 3428633 3726775 3956115 4483597 4873475 6593525 6708195 7602621 8772255 10285899 11180325 11868345 12671035 13450791 14620425 17143165 19780575 22417985 22807863 30857697 33540975 38013105 40352373 43861275 51429495 58286761 59341725 63355175 67253955 85715825 112089925 114039315 154288485 174860283 190065525 201761865 257147475 291433805 336269775 524580849 570196575 771442425 874301415 1008809325 1457169025 2622904245 4371507075 13114521225