Search a number
-
+
13088203920 = 24325116127091
BaseRepresentation
bin11000011000001111…
…00010010010010000
31020210010202122111100
430030013202102100
5203301040011140
610002421344400
7642223616631
oct141407422220
936703678440
1013088203920
115606a4a360
122653268100
13130774527c
148c2369888
15519076530
hex30c1e2490

13088203920 has 240 divisors, whose sum is σ = 48738291264. Its totient is φ = 3120768000.

The previous prime is 13088203913. The next prime is 13088203957. The reversal of 13088203920 is 2930288031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469575 + ... + 496665.

Almost surely, 213088203920 is an apocalyptic number.

13088203920 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 13088203920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24369145632).

13088203920 is an abundant number, since it is smaller than the sum of its proper divisors (35650087344).

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

13088203920 is a wasteful number, since it uses less digits than its factorization.

13088203920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27182 (or 27173 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13088203920 in words is "thirteen billion, eighty-eight million, two hundred three thousand, nine hundred twenty".