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13231522000 = 245364110321
BaseRepresentation
bin11000101001010100…
…10000000011010000
31021011010102221221101
430110222100003100
5204044232201000
610024541234144
7645614036614
oct142452200320
937133387841
1013231522000
11567a938354
122693262954
13132b344978
148d73d5344
15526935e6a
hex314a900d0

13231522000 has 80 divisors (see below), whose sum is σ = 32046837264. Its totient is φ = 5283840000.

The previous prime is 13231521907. The next prime is 13231522019. The reversal of 13231522000 is 22513231.

It can be written as a sum of positive squares in 8 ways, for example, as 1480094784 + 11751427216 = 38472^2 + 108404^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276840 + ... + 1287160.

Almost surely, 213231522000 is an apocalyptic number.

13231522000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13231522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16023418632).

13231522000 is an abundant number, since it is smaller than the sum of its proper divisors (18815315264).

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

13231522000 is a wasteful number, since it uses less digits than its factorization.

13231522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10985 (or 10969 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The spelling of 13231522000 in words is "thirteen billion, two hundred thirty-one million, five hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 641 1000 1282 2000 2564 3205 5128 6410 10256 10321 12820 16025 20642 25640 32050 41284 51280 51605 64100 80125 82568 103210 128200 160250 165136 206420 256400 258025 320500 412840 516050 641000 825680 1032100 1282000 1290125 2064200 2580250 4128400 5160500 6615761 10321000 13231522 20642000 26463044 33078805 52926088 66157610 105852176 132315220 165394025 264630440 330788050 529260880 661576100 826970125 1323152200 1653940250 2646304400 3307880500 6615761000 13231522000