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13232013120 = 263355872609
BaseRepresentation
bin11000101001011000…
…00111111101000000
31021011011100220122000
430110230013331000
5204044343404440
610024555544000
7645621153504
oct142454077500
937134326560
1013232013120
115680143337
12269345b000
13132b487381
148d74c2304
155269d1730
hex314b07f40

13232013120 has 224 divisors, whose sum is σ = 46777046400. Its totient is φ = 3521175552.

The previous prime is 13232013103. The next prime is 13232013133. The reversal of 13232013120 is 2131023231.

13232013120 is a `hidden beast` number, since 1 + 32 + 320 + 1 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13232013093 and 13232013102.

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, 5070376 + ... + 5072984.

It is an arithmetic number, because the mean of its divisors is an integer number (208826100).

Almost surely, 213232013120 is an apocalyptic number.

13232013120 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 13232013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23388523200).

13232013120 is an abundant number, since it is smaller than the sum of its proper divisors (33545033280).

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

13232013120 is a wasteful number, since it uses less digits than its factorization.

13232013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13232013120 its reverse (2131023231), we get a palindrome (15363036351).

The spelling of 13232013120 in words is "thirteen billion, two hundred thirty-two million, thirteen thousand, one hundred twenty".