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13301410331 = 112109929011
BaseRepresentation
bin11000110001101001…
…10110101000011011
31021022222221122201002
430120310312220123
5204220130112311
610035515215215
7650423056646
oct143064665033
937288848632
1013301410331
115706332500
1226b274750b
13133c974701
149027c8a5d
1552cb3d93b
hex318d36a1b

13301410331 has 6 divisors (see below), whose sum is σ = 14620558596. Its totient is φ = 12092191100.

The previous prime is 13301410279. The next prime is 13301410387.

13301410331 is nontrivially palindromic in base 10.

13301410331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13301410331 is a prime.

It is a super-2 number, since 2×133014103312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13301410631) 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 5 ways as a sum of consecutive naturals, for example, 54964385 + ... + 54964626.

It is an arithmetic number, because the mean of its divisors is an integer number (2436759766).

Almost surely, 213301410331 is an apocalyptic number.

13301410331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13301410331 is a deficient number, since it is larger than the sum of its proper divisors (1319148265).

13301410331 is a wasteful number, since it uses less digits than its factorization.

13301410331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109929033 (or 109929022 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The spelling of 13301410331 in words is "thirteen billion, three hundred one million, four hundred ten thousand, three hundred thirty-one".

Divisors: 1 11 121 109929011 1209219121 13301410331