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12132535105 = 55099475879
BaseRepresentation
bin10110100110010011…
…11100101101000001
31011022112111122100001
423103021330231001
5144321412110410
65323522200001
7606440563315
oct132311745501
934275448301
1012132535105
115166555219
1224271b3001
1311b475a172
1483147bb45
154b020033a
hex2d327cb41

12132535105 has 8 divisors (see below), whose sum is σ = 14561928000. Its totient is φ = 9704104176.

The previous prime is 12132535073. The next prime is 12132535117. The reversal of 12132535105 is 50153523121.

12132535105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12132535105 - 25 = 12132535073 is a prime.

It is a super-2 number, since 2×121325351052 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 212445 + ... + 263434.

It is an arithmetic number, because the mean of its divisors is an integer number (1820241000).

Almost surely, 212132535105 is an apocalyptic number.

It is an amenable number.

12132535105 is a deficient number, since it is larger than the sum of its proper divisors (2429392895).

12132535105 is an equidigital number, since it uses as much as digits as its factorization.

12132535105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480983.

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 12132535105 in words is "twelve billion, one hundred thirty-two million, five hundred thirty-five thousand, one hundred five".

Divisors: 1 5 5099 25495 475879 2379395 2426507021 12132535105