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13303110312 = 2332184765421
BaseRepresentation
bin11000110001110110…
…10101101010101000
31021100010011000122100
430120323111222220
5204221044012222
610040015453400
7650443400112
oct143073255250
937303130570
1013303110312
115707293748
1226b3227260
13134011b40b
14902b0c3b2
1552cd774ac
hex318ed5aa8

13303110312 has 24 divisors (see below), whose sum is σ = 36029257290. Its totient is φ = 4434370080.

The previous prime is 13303110287. The next prime is 13303110329. The reversal of 13303110312 is 21301130331.

It is a happy number.

13303110312 is a `hidden beast` number, since 13 + 30 + 311 + 0 + 312 = 666.

13303110312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8384332356 + 4918777956 = 91566^2 + 70134^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92382639 + ... + 92382782.

Almost surely, 213303110312 is an apocalyptic number.

13303110312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13303110312 is an abundant number, since it is smaller than the sum of its proper divisors (22726146978).

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

13303110312 is a wasteful number, since it uses less digits than its factorization.

13303110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184765433 (or 184765426 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13303110312 its reverse (21301130331), we get a palindrome (34604240643).

The spelling of 13303110312 in words is "thirteen billion, three hundred three million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 184765421 369530842 554296263 739061684 1108592526 1478123368 1662888789 2217185052 3325777578 4434370104 6651555156 13303110312