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12133102407 = 341317311177
BaseRepresentation
bin10110100110011000…
…00111001101000111
31011022120120110112020
423103030013031013
5144322033234112
65323542254223
7606445445256
oct132314071507
934276513466
1012133102407
115166902468
122427427373
1311b48c844a
1483158879d
154b02b348c
hex2d3307347

12133102407 has 16 divisors (see below), whose sum is σ = 16624373472. Its totient is φ = 7866529280.

The previous prime is 12133102379. The next prime is 12133102409. The reversal of 12133102407 is 70420133121.

It is a happy number.

12133102407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12133102407 - 27 = 12133102279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133102409) 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 15 ways as a sum of consecutive naturals, for example, 116598 + ... + 194579.

It is an arithmetic number, because the mean of its divisors is an integer number (1039023342).

Almost surely, 212133102407 is an apocalyptic number.

12133102407 is a deficient number, since it is larger than the sum of its proper divisors (4491271065).

12133102407 is a wasteful number, since it uses less digits than its factorization.

12133102407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311538.

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 12133102407 its reverse (70420133121), we get a palindrome (82553235528).

The spelling of 12133102407 in words is "twelve billion, one hundred thirty-three million, one hundred two thousand, four hundred seven".

Divisors: 1 3 41 123 317 951 12997 38991 311177 933531 12758257 38274771 98643109 295929327 4044367469 12133102407