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13002331320 = 23325113788741
BaseRepresentation
bin11000001101111111…
…11101010010111000
31020120011011212102200
430012333331102320
5203112044100240
65550113030200
7640131664326
oct140677752270
936504155380
1013002331320
115572527a70
12262a555360
1312c2a09b94
148b4bb4d16
15511762930
hex306ffd4b8

13002331320 has 192 divisors, whose sum is σ = 47345631840. Its totient is φ = 3066854400.

The previous prime is 13002331259. The next prime is 13002331369. The reversal of 13002331320 is 2313320031.

13002331320 is a `hidden beast` number, since 1 + 300 + 2 + 331 + 32 + 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 = 13002331293 and 13002331302.

It is a congruent number.

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, 102150 + ... + 190890.

Almost surely, 213002331320 is an apocalyptic number.

13002331320 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 13002331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23672815920).

13002331320 is an abundant number, since it is smaller than the sum of its proper divisors (34343300520).

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

13002331320 is a wasteful number, since it uses less digits than its factorization.

13002331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88806 (or 88799 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13002331320 its reverse (2313320031), we get a palindrome (15315651351).

The spelling of 13002331320 in words is "thirteen billion, two million, three hundred thirty-one thousand, three hundred twenty".