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12331132031309 = 721319358135057
BaseRepresentation
bin1011001101110001000010…
…1111101001000101001101
31121122211210210102011221012
42303130100233221011031
53104013124300000214
642120502134415005
72411615642565500
oct263342057510515
947584723364835
1012331132031309
113a24670617aa3
121471a33201465
136b5a8929a9a0
14308b89645137
15165b637ba03e
hexb3710be914d

12331132031309 has 12 divisors (see below), whose sum is σ = 15447791776284. Its totient is φ = 9756500068224.

The previous prime is 12331132031261. The next prime is 12331132031327. The reversal of 12331132031309 is 90313023113321.

12331132031309 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 2 ways, for example, as 7352530518025 + 4978601513284 = 2711555^2 + 2231278^2 .

It is not a de Polignac number, because 12331132031309 - 212 = 12331132027213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331132031329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9679066892 + ... + 9679068165.

It is an arithmetic number, because the mean of its divisors is an integer number (1287315981357).

Almost surely, 212331132031309 is an apocalyptic number.

It is an amenable number.

12331132031309 is a deficient number, since it is larger than the sum of its proper divisors (3116659744975).

12331132031309 is a wasteful number, since it uses less digits than its factorization.

12331132031309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19358135084 (or 19358135077 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 12331132031309 in words is "twelve trillion, three hundred thirty-one billion, one hundred thirty-two million, thirty-one thousand, three hundred nine".

Divisors: 1 7 13 49 91 637 19358135057 135506945399 251655755741 948548617793 1761590290187 12331132031309