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13080203136 = 27337111319199
BaseRepresentation
bin11000010111010010…
…00000111110000000
31020202120201011111000
430023221000332000
5203242013000021
610001534052000
7642065615010
oct141351007600
936676634430
1013080203136
115602485240
12265064a000
131305ba3690
148c1285c40
155184e5b26
hex30ba40f80

13080203136 has 1024 divisors, whose sum is σ = 54835200000. Its totient is φ = 2956124160.

The previous prime is 13080203119. The next prime is 13080203161. The reversal of 13080203136 is 63130208031.

It is a happy number.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 65729565 + ... + 65729763.

It is an arithmetic number, because the mean of its divisors is an integer number (53550000).

Almost surely, 213080203136 is an apocalyptic number.

13080203136 is a gapful number since it is divisible by the number (16) 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 13080203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27417600000).

13080203136 is an abundant number, since it is smaller than the sum of its proper divisors (41754996864).

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

13080203136 is a wasteful number, since it uses less digits than its factorization.

13080203136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13080203136 in words is "thirteen billion, eighty million, two hundred three thousand, one hundred thirty-six".