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13069920984120 = 233357111361919531
BaseRepresentation
bin1011111000110001001111…
…1111110101110000111000
31201021110202021011112202000
42332030103333311300320
53203114144232442440
643444123325541000
72516161553224140
oct276142377656070
951243667145660
1013069920984120
114189a16732a90
121571056114760
1373a6469285c0
1433283234d920
15179ea2d8a730
hexbe313ff5c38

13069920984120 has 1024 divisors, whose sum is σ = 58592249856000. Its totient is φ = 2502739814400.

The previous prime is 13069920984101. The next prime is 13069920984161. The reversal of 13069920984120 is 2148902996031.

13069920984120 is a `hidden beast` number, since 1 + 30 + 6 + 99 + 20 + 98 + 412 + 0 = 666.

It is a super-2 number, since 2×130699209841202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 669178755 + ... + 669198285.

It is an arithmetic number, because the mean of its divisors is an integer number (57218994000).

Almost surely, 213069920984120 is an apocalyptic number.

13069920984120 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 13069920984120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29296124928000).

13069920984120 is an abundant number, since it is smaller than the sum of its proper divisors (45522328871880).

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

13069920984120 is a wasteful number, since it uses less digits than its factorization.

13069920984120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20201 (or 20191 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 13069920984120 in words is "thirteen trillion, sixty-nine billion, nine hundred twenty million, nine hundred eighty-four thousand, one hundred twenty".