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13303202304 = 29371773997
BaseRepresentation
bin11000110001110111…
…01100001000000000
31021100010022200211110
430120323230020000
5204221104433204
610040021443320
7650444232240
oct143073541000
937303280743
1013303202304
115707346877
1226b3270540
131340151252
14902b33b20
1552cd94889
hex318eec200

13303202304 has 320 divisors, whose sum is σ = 43517143296. Its totient is φ = 3524788224.

The previous prime is 13303202299. The next prime is 13303202347. The reversal of 13303202304 is 40320230331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13342734 + ... + 13343730.

Almost surely, 213303202304 is an apocalyptic number.

13303202304 is a gapful number since it is divisible by the number (14) 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 13303202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21758571648).

13303202304 is an abundant number, since it is smaller than the sum of its proper divisors (30213940992).

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

13303202304 is an equidigital number, since it uses as much as digits as its factorization.

13303202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 13303202304 its reverse (40320230331), we get a palindrome (53623432635).

The spelling of 13303202304 in words is "thirteen billion, three hundred three million, two hundred two thousand, three hundred four".