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12330020313 = 341311709421
BaseRepresentation
bin10110111101110110…
…10010110111011001
31011211022002221010000
423132323102313121
5200222441122223
65355255043213
7614356305042
oct133673226731
934738087100
1012330020313
115257a7a836
122481370509
131216643910
1484d7a78c9
154c270e543
hex2deed2dd9

12330020313 has 20 divisors (see below), whose sum is σ = 19835760868. Its totient is φ = 7587704160.

The previous prime is 12330020293. The next prime is 12330020327. The reversal of 12330020313 is 31302003321.

12330020313 is a `hidden beast` number, since 1 + 2 + 330 + 0 + 20 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4633116489 + 7696903824 = 68067^2 + 87732^2 .

It is not a de Polignac number, because 12330020313 - 26 = 12330020249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12330020513) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5853658 + ... + 5855763.

Almost surely, 212330020313 is an apocalyptic number.

12330020313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12330020313 is a deficient number, since it is larger than the sum of its proper divisors (7505740555).

12330020313 is a wasteful number, since it uses less digits than its factorization.

12330020313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11709446 (or 11709437 counting only the distinct ones).

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

Adding to 12330020313 its reverse (31302003321), we get a palindrome (43632023634).

The spelling of 12330020313 in words is "twelve billion, three hundred thirty million, twenty thousand, three hundred thirteen".

Divisors: 1 3 9 13 27 39 81 117 351 1053 11709421 35128263 105384789 152222473 316154367 456667419 948463101 1370002257 4110006771 12330020313