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12303113313 = 331132291541
BaseRepresentation
bin10110111010101001…
…01001110001100001
31011202102110220122110
423131110221301201
5200144044111223
65352454225533
7613611511011
oct133524516141
934672426573
1012303113313
115243872147
1224743552a9
131210bb270a
14849da1c41
154c0196d93
hex2dd529c61

12303113313 has 8 divisors (see below), whose sum is σ = 16933317376. Its totient is φ = 7937492400.

The previous prime is 12303113281. The next prime is 12303113351. The reversal of 12303113313 is 31331130321.

12303113313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12303113313 - 25 = 12303113281 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12303113313.

It is not an unprimeable number, because it can be changed into a prime (12303113113) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 66145678 + ... + 66145863.

It is an arithmetic number, because the mean of its divisors is an integer number (2116664672).

Almost surely, 212303113313 is an apocalyptic number.

It is an amenable number.

12303113313 is a deficient number, since it is larger than the sum of its proper divisors (4630204063).

12303113313 is a wasteful number, since it uses less digits than its factorization.

12303113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132291575.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 12303113313 its reverse (31331130321), we get a palindrome (43634243634).

The spelling of 12303113313 in words is "twelve billion, three hundred three million, one hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 31 93 132291541 396874623 4101037771 12303113313