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12302435133 = 324779368149
BaseRepresentation
bin10110111010100100…
…00100001100111101
31011202101012110100200
423131102010030331
5200143410411013
65352431514113
7613602654552
oct133522041475
934671173320
1012302435133
11524344966a
122474088939
131210a05b21
14849c66a29
154c00b0e73
hex2dd48433d

12302435133 has 24 divisors (see below), whose sum is σ = 18378048000. Its totient is φ = 7925490144.

The previous prime is 12302435081. The next prime is 12302435143. The reversal of 12302435133 is 33153420321.

12302435133 is a `hidden beast` number, since 1 + 2 + 302 + 4 + 351 + 3 + 3 = 666.

12302435133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12302435133 - 218 = 12302172989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12302435097 and 12302435106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302435143) 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 23 ways as a sum of consecutive naturals, for example, 150658 + ... + 217491.

It is an arithmetic number, because the mean of its divisors is an integer number (765752000).

Almost surely, 212302435133 is an apocalyptic number.

It is an amenable number.

12302435133 is a deficient number, since it is larger than the sum of its proper divisors (6075612867).

12302435133 is a wasteful number, since it uses less digits than its factorization.

12302435133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368281 (or 368278 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 12302435133 its reverse (33153420321), we get a palindrome (45455855454).

The spelling of 12302435133 in words is "twelve billion, three hundred two million, four hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 47 79 141 237 423 711 3713 11139 33417 368149 1104447 3313341 17303003 29083771 51909009 87251313 155727027 261753939 1366937237 4100811711 12302435133