Search a number
-
+
131165591251829 is a prime number
BaseRepresentation
bin11101110100101101011110…
…011110010010101101110101
3122012102022022120120212211212
4131310231132132102231311
5114143004112330024304
61142544350223411205
736425254424653451
oct3564553636225565
9565368276525755
10131165591251829
1138880018866562
121286492b153b05
135825b292a0c74
14245663c927661
151026db859466e
hex774b5e792b75

131165591251829 has 2 divisors, whose sum is σ = 131165591251830. Its totient is φ = 131165591251828.

The previous prime is 131165591251817. The next prime is 131165591251979. The reversal of 131165591251829 is 928152195561131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127285735281604 + 3879855970225 = 11282098^2 + 1969735^2 .

It is a cyclic number.

It is not a de Polignac number, because 131165591251829 - 240 = 130066079624053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131165591250829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65582795625914 + 65582795625915.

It is an arithmetic number, because the mean of its divisors is an integer number (65582795625915).

Almost surely, 2131165591251829 is an apocalyptic number.

It is an amenable number.

131165591251829 is a deficient number, since it is larger than the sum of its proper divisors (1).

131165591251829 is an equidigital number, since it uses as much as digits as its factorization.

131165591251829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832000, while the sum is 59.

The spelling of 131165591251829 in words is "one hundred thirty-one trillion, one hundred sixty-five billion, five hundred ninety-one million, two hundred fifty-one thousand, eight hundred twenty-nine".