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3300013201320 = 23395112316567
BaseRepresentation
bin110000000001011000000…
…111010101011110101000
3102200110220121001000000000
4300001120013111132220
5413031411334420240
611004001035343000
7460263255251313
oct60013007253650
912613817030000
103300013201320
11106258946a360
124536938b1a60
131ac261301534
14b5a15ab397a
155ac9315e430
hex300581d57a8

3300013201320 has 640 divisors, whose sum is σ = 12678862141440. Its totient is φ = 765174263040.

The previous prime is 3300013201253. The next prime is 3300013201357. The reversal of 3300013201320 is 231023100033.

3300013201320 is a `hidden beast` number, since 330 + 0 + 0 + 1 + 320 + 13 + 2 + 0 = 666.

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

3300013201320 is a modest number, since divided by 13201320 gives 33000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3300013201293 and 3300013201302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 199183677 + ... + 199200243.

It is an arithmetic number, because the mean of its divisors is an integer number (19810722096).

Almost surely, 23300013201320 is an apocalyptic number.

3300013201320 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 3300013201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339431070720).

3300013201320 is an abundant number, since it is smaller than the sum of its proper divisors (9378848940120).

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

3300013201320 is a wasteful number, since it uses less digits than its factorization.

3300013201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16639 (or 16611 counting only the distinct ones).

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

Adding to 3300013201320 its reverse (231023100033), we get a palindrome (3531036301353).

The spelling of 3300013201320 in words is "three trillion, three hundred billion, thirteen million, two hundred one thousand, three hundred twenty".