Search a number
-
+
115085681 is a prime number
BaseRepresentation
bin1101101110000…
…01000101110001
322000112221212122
412313001011301
5213430220211
615230404025
72565132524
oct667010561
9260487778
10115085681
1159a65637
1232660615
131aac6149
14113dabbb
15a1846db
hex6dc1171

115085681 has 2 divisors, whose sum is σ = 115085682. Its totient is φ = 115085680.

The previous prime is 115085653. The next prime is 115085687. The reversal of 115085681 is 186580511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114918400 + 167281 = 10720^2 + 409^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-115085681 is a prime.

It is a super-2 number, since 2×1150856812 = 26489427942467522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (115085687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57542840 + 57542841.

It is an arithmetic number, because the mean of its divisors is an integer number (57542841).

Almost surely, 2115085681 is an apocalyptic number.

It is an amenable number.

115085681 is a deficient number, since it is larger than the sum of its proper divisors (1).

115085681 is an equidigital number, since it uses as much as digits as its factorization.

115085681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 35.

The square root of 115085681 is about 10727.7994481627. The cubic root of 115085681 is about 486.4151546980.

The spelling of 115085681 in words is "one hundred fifteen million, eighty-five thousand, six hundred eighty-one".