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3320131320000 = 263254113072731
BaseRepresentation
bin110000010100000111001…
…111110111100011000000
3102202101211122211022121200
4300110013033313203000
5413344112104220000
611021125224421200
7461604643402455
oct60240717674300
912671748738550
103320131320000
111070072635720
12457569317800
131b11192c4981
14b69a394582c
155b56e45d500
hex305073f78c0

3320131320000 has 840 divisors, whose sum is σ = 13019993418432. Its totient is φ = 801964800000.

The previous prime is 3320131319993. The next prime is 3320131320017. The reversal of 3320131320000 is 231310233.

3320131320000 is a `hidden beast` number, since 332 + 0 + 1 + 313 + 20 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×33201313200002 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1215718635 + ... + 1215721365.

Almost surely, 23320131320000 is an apocalyptic number.

3320131320000 is a gapful number since it is divisible by the number (30) 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 3320131320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509996709216).

3320131320000 is an abundant number, since it is smaller than the sum of its proper divisors (9699862098432).

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

3320131320000 is a wasteful number, since it uses less digits than its factorization.

3320131320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3059 counting only the distinct ones).

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

Adding to 3320131320000 its reverse (231310233), we get a palindrome (3320362630233).

The spelling of 3320131320000 in words is "three trillion, three hundred twenty billion, one hundred thirty-one million, three hundred twenty thousand".