Search a number
-
+
12131436769 is a prime number
BaseRepresentation
bin10110100110001011…
…10000100011100001
31011022110102211200221
423103011300203201
5144321121434034
65323442443041
7606425340214
oct132305604341
934273384627
1012131436769
115165975001
122426963481
1311b446426a
1483127377b
154b0084bb4
hex2d31708e1

12131436769 has 2 divisors, whose sum is σ = 12131436770. Its totient is φ = 12131436768.

The previous prime is 12131436743. The next prime is 12131436773. The reversal of 12131436769 is 96763413121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9622629025 + 2508807744 = 98095^2 + 50088^2 .

It is a cyclic number.

It is not a de Polignac number, because 12131436769 - 213 = 12131428577 is a prime.

It is a super-2 number, since 2×121314367692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12131436269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065718384 + 6065718385.

It is an arithmetic number, because the mean of its divisors is an integer number (6065718385).

Almost surely, 212131436769 is an apocalyptic number.

It is an amenable number.

12131436769 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131436769 is an equidigital number, since it uses as much as digits as its factorization.

12131436769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 163296, while the sum is 43.

It can be divided in two parts, 12131 and 436769, that added together give a square (448900 = 6702).

The spelling of 12131436769 in words is "twelve billion, one hundred thirty-one million, four hundred thirty-six thousand, seven hundred sixty-nine".