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12105330131 = 171036913381
BaseRepresentation
bin10110100011000100…
…01010110111010011
31011020122022111010102
423101202022313103
5144242431031011
65321111123015
7605660415446
oct132142126723
934218274112
1012105330131
115152163774
12241a07346b
1311abc2344b
1482b9d965d
154acb2973b
hex2d188add3

12105330131 has 8 divisors (see below), whose sum is σ = 12941851104. Its totient is φ = 11282636160.

The previous prime is 12105330121. The next prime is 12105330161. The reversal of 12105330131 is 13103350121.

12105330131 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 de Polignac number, because none of the positive numbers 2k-12105330131 is a prime.

It is a super-2 number, since 2×121053301312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12105330121) 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 7 ways as a sum of consecutive naturals, for example, 3454940 + ... + 3458441.

It is an arithmetic number, because the mean of its divisors is an integer number (1617731388).

Almost surely, 212105330131 is an apocalyptic number.

12105330131 is a deficient number, since it is larger than the sum of its proper divisors (836520973).

12105330131 is a wasteful number, since it uses less digits than its factorization.

12105330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913501.

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 12105330131 its reverse (13103350121), we get a palindrome (25208680252).

The spelling of 12105330131 in words is "twelve billion, one hundred five million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 17 103 1751 6913381 117527477 712078243 12105330131