Search a number
-
+
13136302080 = 2123251121931
BaseRepresentation
bin11000011101111110…
…00001000000000000
31020220111021021202200
430032333001000000
5203400343131310
610011300313200
7643346503536
oct141677010000
936814237680
1013136302080
115631111200
1226673a2800
1313146b5b15
148c88ca156
1551d3c79c0
hex30efc1000

13136302080 has 936 divisors, whose sum is σ = 54382997760. Its totient is φ = 2919628800.

The previous prime is 13136302079. The next prime is 13136302117. The reversal of 13136302080 is 8020363131.

It is a happy number.

13136302080 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 630 + 20 + 8 + 0 = 666.

It is a congruent number.

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, 423751665 + ... + 423751695.

Almost surely, 213136302080 is an apocalyptic number.

13136302080 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 13136302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27191498880).

13136302080 is an abundant number, since it is smaller than the sum of its proper divisors (41246695680).

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

13136302080 is a wasteful number, since it uses less digits than its factorization.

13136302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

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

The spelling of 13136302080 in words is "thirteen billion, one hundred thirty-six million, three hundred two thousand, eighty".