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13302020331 = 323739946007
BaseRepresentation
bin11000110001101110…
…01011100011101011
31021100001002122110200
430120313023203223
5204220304122311
610035540243243
7650431210245
oct143067134353
937301078420
1013302020331
115706709836
1226b29a0523
13133cb29262
14902907095
1552cc0e556
hex318dcb8eb

13302020331 has 12 divisors (see below), whose sum is σ = 19733327952. Its totient is φ = 8628337296.

The previous prime is 13302020321. The next prime is 13302020351.

13302020331 is a `hidden beast` number, since 1 + 330 + 2 + 0 + 2 + 0 + 331 = 666.

13302020331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13302020331 - 26 = 13302020267 is a prime.

It is a super-2 number, since 2×133020203312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13302020321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19972671 + ... + 19973336.

It is an arithmetic number, because the mean of its divisors is an integer number (1644443996).

Almost surely, 213302020331 is an apocalyptic number.

13302020331 is a deficient number, since it is larger than the sum of its proper divisors (6431307621).

13302020331 is a wasteful number, since it uses less digits than its factorization.

13302020331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39946050 (or 39946047 counting only the distinct ones).

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

It can be divided in two parts, 133020 and 20331, that added together give a palindrome (153351).

The spelling of 13302020331 in words is "thirteen billion, three hundred two million, twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 37 111 333 39946007 119838021 359514063 1478002259 4434006777 13302020331