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13312335123 = 331967387313
BaseRepresentation
bin11000110010111101…
…00001110100010011
31021100202111200201000
430121132201310103
5204230424210443
610040545313043
7650614660443
oct143136416423
937322450630
1013312335123
11571151445a
1226b6335783
131341ccb199
14904030123
1552da9a8d3
hex3197a1d13

13312335123 has 32 divisors (see below), whose sum is σ = 21069881600. Its totient is φ = 8282279808.

The previous prime is 13312335121. The next prime is 13312335137. The reversal of 13312335123 is 32153321331.

13312335123 is a `hidden beast` number, since 1 + 3 + 312 + 335 + 12 + 3 = 666.

13312335123 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 13312335123 - 21 = 13312335121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13312335121) 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 31 ways as a sum of consecutive naturals, for example, 159286 + ... + 228027.

It is an arithmetic number, because the mean of its divisors is an integer number (658433800).

Almost surely, 213312335123 is an apocalyptic number.

13312335123 is a deficient number, since it is larger than the sum of its proper divisors (7757546477).

13312335123 is a wasteful number, since it uses less digits than its factorization.

13312335123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387408 (or 387402 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

Adding to 13312335123 its reverse (32153321331), we get a palindrome (45465656454).

The spelling of 13312335123 in words is "thirteen billion, three hundred twelve million, three hundred thirty-five thousand, one hundred twenty-three".

Divisors: 1 3 9 19 27 57 67 171 201 513 603 1273 1809 3819 11457 34371 387313 1161939 3485817 7358947 10457451 22076841 25949971 66230523 77849913 198691569 233549739 493049449 700649217 1479148347 4437445041 13312335123