Search a number
-
+
12131010181 is a prime number
BaseRepresentation
bin10110100110001000…
…01000011010000101
31011022102122011112101
423103010020122011
5144321014311211
65323425352101
7606421612423
oct132304103205
934272564471
1012131010181
115165703554
122426798631
1311b4345044
148311a2113
154aeeed5c1
hex2d3108685

12131010181 has 2 divisors, whose sum is σ = 12131010182. Its totient is φ = 12131010180.

The previous prime is 12131010079. The next prime is 12131010187. The reversal of 12131010181 is 18101013121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7647502500 + 4483507681 = 87450^2 + 66959^2 .

It is a cyclic number.

It is not a de Polignac number, because 12131010181 - 217 = 12130879109 is a prime.

It is a super-2 number, since 2×121310101812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12131010187) 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, 6065505090 + 6065505091.

It is an arithmetic number, because the mean of its divisors is an integer number (6065505091).

Almost surely, 212131010181 is an apocalyptic number.

It is an amenable number.

12131010181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131010181 is an equidigital number, since it uses as much as digits as its factorization.

12131010181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

The spelling of 12131010181 in words is "twelve billion, one hundred thirty-one million, ten thousand, one hundred eighty-one".