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13203181920 = 2535175330529
BaseRepresentation
bin11000100101111100…
…01001000101100000
31021002011010010122210
430102332021011200
5204020003310140
610022050002120
7645121123515
oct142276110540
937064103583
1013203181920
115665940aa5
122685876340
1313255013a6
148d373930c
155241d8d80
hex312f89160

13203181920 has 192 divisors, whose sum is σ = 44868841920. Its totient is φ = 3251109888.

The previous prime is 13203181897. The next prime is 13203181931. The reversal of 13203181920 is 2918130231.

It is a super-2 number, since 2×132031819202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417216 + ... + 447744.

It is an arithmetic number, because the mean of its divisors is an integer number (233691885).

Almost surely, 213203181920 is an apocalyptic number.

13203181920 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 13203181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22434420960).

13203181920 is an abundant number, since it is smaller than the sum of its proper divisors (31665660000).

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

13203181920 is a wasteful number, since it uses less digits than its factorization.

13203181920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30617 (or 30609 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 13203181920 in words is "thirteen billion, two hundred three million, one hundred eighty-one thousand, nine hundred twenty".