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13132000020 = 2235683320449
BaseRepresentation
bin11000011101011101…
…00110101100010100
31020220012011201110010
430032232212230110
5203343243000040
610011024200220
7643265105226
oct141656465424
936805151403
1013132000020
115629742a87
122665a69070
13131383a919
148c80ca416
1551cd27e80
hex30eba6b14

13132000020 has 48 divisors (see below), whose sum is σ = 36823550400. Its totient is φ = 3496728576.

The previous prime is 13132000001. The next prime is 13132000027. The reversal of 13132000020 is 2000023131.

It is a happy number.

13132000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132000027) by changing a digit.

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, 119245 + ... + 201204.

It is an arithmetic number, because the mean of its divisors is an integer number (767157300).

Almost surely, 213132000020 is an apocalyptic number.

13132000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132000020 is an abundant number, since it is smaller than the sum of its proper divisors (23691550380).

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

13132000020 is a wasteful number, since it uses less digits than its factorization.

13132000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321144 (or 321142 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13132000020 its reverse (2000023131), we get a palindrome (15132023151).

The spelling of 13132000020 in words is "thirteen billion, one hundred thirty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 683 1366 2049 2732 3415 4098 6830 8196 10245 13660 20490 40980 320449 640898 961347 1281796 1602245 1922694 3204490 3845388 4806735 6408980 9613470 19226940 218866667 437733334 656600001 875466668 1094333335 1313200002 2188666670 2626400004 3283000005 4377333340 6566000010 13132000020