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13021312120200 = 23325237787248431
BaseRepresentation
bin1011110101111100001010…
…1011101111010110001000
31201002211021122000102001200
42331133002223233112020
53201320121400321300
643405524101144200
72512521152545536
oct275370253572610
951084248012050
1013021312120200
11417034225507a
12156374b0bb060
13735b9b152927
143303406a5156
15178aaa6d9200
hexbd7c2aef588

13021312120200 has 288 divisors, whose sum is σ = 44969043999360. Its totient is φ = 3374196134400.

The previous prime is 13021312120087. The next prime is 13021312120213. The reversal of 13021312120200 is 202121312031.

13021312120200 is a `hidden beast` number, since 1 + 30 + 2 + 1 + 312 + 120 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52289985 + ... + 52538415.

Almost surely, 213021312120200 is an apocalyptic number.

13021312120200 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 13021312120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22484521999680).

13021312120200 is an abundant number, since it is smaller than the sum of its proper divisors (31947731879160).

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

13021312120200 is a wasteful number, since it uses less digits than its factorization.

13021312120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249277 (or 249265 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13021312120200 its reverse (202121312031), we get a palindrome (13223433432231).

The spelling of 13021312120200 in words is "thirteen trillion, twenty-one billion, three hundred twelve million, one hundred twenty thousand, two hundred".