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13132521522 = 23317107133697
BaseRepresentation
bin11000011101100001…
…00110000000110010
31020220020011012211000
430032300212000302
5203343411142042
610011043302430
7643302406521
oct141660460062
936806135730
1013132521522
115629a6987a
12266607aa16
1313139910c3
148c81c44b8
1551cdcc74c
hex30ec26032

13132521522 has 64 divisors (see below), whose sum is σ = 31189069440. Its totient is φ = 4081471488.

The previous prime is 13132521509. The next prime is 13132521551. The reversal of 13132521522 is 22512523131.

13132521522 is a `hidden beast` number, since 1 + 3 + 132 + 5 + 2 + 1 + 522 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31378 + ... + 165074.

It is an arithmetic number, because the mean of its divisors is an integer number (487329210).

Almost surely, 213132521522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132521522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15594534720).

13132521522 is an abundant number, since it is smaller than the sum of its proper divisors (18056547918).

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

13132521522 is a wasteful number, since it uses less digits than its factorization.

13132521522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133832 (or 133826 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The spelling of 13132521522 in words is "thirteen billion, one hundred thirty-two million, five hundred twenty-one thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 107 153 214 306 321 459 642 918 963 1819 1926 2889 3638 5457 5778 10914 16371 32742 49113 98226 133697 267394 401091 802182 1203273 2272849 2406546 3609819 4545698 6818547 7219638 13637094 14305579 20455641 28611158 40911282 42916737 61366923 85833474 122733846 128750211 243194843 257500422 386250633 486389686 729584529 772501266 1459169058 2188753587 4377507174 6566260761 13132521522