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13332223331 = 72965675977
BaseRepresentation
bin11000110101010100…
…11001010101100011
31021102010221010012022
430122222121111203
5204301022121311
610042535452055
7651246012530
oct143252312543
937363833168
1013332223331
115721768799
122700b2702b
13134617275b
14906929d87
155306c85db
hex31aa99563

13332223331 has 8 divisors (see below), whose sum is σ = 15762234720. Its totient is φ = 11033563968.

The previous prime is 13332223321. The next prime is 13332223343.

It is a happy number.

13332223331 is nontrivially palindromic in base 10.

13332223331 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 a de Polignac number, because none of the positive numbers 2k-13332223331 is a prime.

It is a super-2 number, since 2×133322233312 (a number of 21 digits) contains 22 as substring.

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 13332223331.

It is not an unprimeable number, because it can be changed into a prime (13332223321) 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, 32837786 + ... + 32838191.

It is an arithmetic number, because the mean of its divisors is an integer number (1970279340).

Almost surely, 213332223331 is an apocalyptic number.

13332223331 is a deficient number, since it is larger than the sum of its proper divisors (2430011389).

13332223331 is an equidigital number, since it uses as much as digits as its factorization.

13332223331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65676013.

The product of its digits is 5832, while the sum is 26.

The spelling of 13332223331 in words is "thirteen billion, three hundred thirty-two million, two hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 7 29 203 65675977 459731839 1904603333 13332223331