Search a number
-
+
12331010115637 is a prime number
BaseRepresentation
bin1011001101110000100101…
…1110100100100000110101
31121122211111022000020001221
42303130021132210200311
53104012402042200022
642120442101350341
72411612632405303
oct263341136444065
947584438006057
1012331010115637
113a24608817a44
1214719ba4083b1
136b5a69c52b35
14308b7738b273
15165b57c36cc7
hexb37097a4835

12331010115637 has 2 divisors, whose sum is σ = 12331010115638. Its totient is φ = 12331010115636.

The previous prime is 12331010115563. The next prime is 12331010115653. The reversal of 12331010115637 is 73651101013321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8545063161636 + 3785946954001 = 2923194^2 + 1945751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12331010115637 is a prime.

It is a super-2 number, since 2×123310101156372 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12331010115667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165505057818 + 6165505057819.

It is an arithmetic number, because the mean of its divisors is an integer number (6165505057819).

Almost surely, 212331010115637 is an apocalyptic number.

It is an amenable number.

12331010115637 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331010115637 is an equidigital number, since it uses as much as digits as its factorization.

12331010115637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 34.

Adding to 12331010115637 its reverse (73651101013321), we get a palindrome (85982111128958).

The spelling of 12331010115637 in words is "twelve trillion, three hundred thirty-one billion, ten million, one hundred fifteen thousand, six hundred thirty-seven".