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12135115969 is a prime number
BaseRepresentation
bin10110100110100111…
…10010110011000001
31011022201100202121121
423103103302303001
5144323042202334
65324053352241
7606501532564
oct132323626301
934281322547
1012135115969
115167a58269
122428038681
1311b5151ac2
148319504db
154b055edb4
hex2d34f2cc1

12135115969 has 2 divisors, whose sum is σ = 12135115970. Its totient is φ = 12135115968.

The previous prime is 12135115931. The next prime is 12135115973. The reversal of 12135115969 is 96951153121.

12135115969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10524297744 + 1610818225 = 102588^2 + 40135^2 .

It is a cyclic number.

It is not a de Polignac number, because 12135115969 - 221 = 12133018817 is a prime.

It is a super-2 number, since 2×121351159692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12135115469) 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 as a sum of consecutive naturals, namely, 6067557984 + 6067557985.

It is an arithmetic number, because the mean of its divisors is an integer number (6067557985).

Almost surely, 212135115969 is an apocalyptic number.

It is an amenable number.

12135115969 is a deficient number, since it is larger than the sum of its proper divisors (1).

12135115969 is an equidigital number, since it uses as much as digits as its factorization.

12135115969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72900, while the sum is 43.

The spelling of 12135115969 in words is "twelve billion, one hundred thirty-five million, one hundred fifteen thousand, nine hundred sixty-nine".