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12133142131 = 111764883113
BaseRepresentation
bin10110100110011000…
…10000111001110011
31011022120122111000111
423103030100321303
5144322041022011
65323543202151
7606446002135
oct132314207163
934276574014
1012133142131
11516692a2a0
122427446357
1311b4910556
14831599055
154b02c0121
hex2d3310e73

12133142131 has 8 divisors (see below), whose sum is σ = 14014752624. Its totient is φ = 10381297920.

The previous prime is 12133142117. The next prime is 12133142149. The reversal of 12133142131 is 13124133121.

12133142131 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 12133142131 - 211 = 12133140083 is a prime.

It is a super-2 number, since 2×121331421312 (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 (12133142101) 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, 32441370 + ... + 32441743.

It is an arithmetic number, because the mean of its divisors is an integer number (1751844078).

Almost surely, 212133142131 is an apocalyptic number.

12133142131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12133142131 is a deficient number, since it is larger than the sum of its proper divisors (1881610493).

12133142131 is a wasteful number, since it uses less digits than its factorization.

12133142131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64883141.

The product of its digits is 432, while the sum is 22.

Adding to 12133142131 its reverse (13124133121), we get a palindrome (25257275252).

The spelling of 12133142131 in words is "twelve billion, one hundred thirty-three million, one hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 11 17 187 64883113 713714243 1103012921 12133142131