Search a number
-
+
231011103013 is a prime number
BaseRepresentation
bin1101011100100101010…
…1011011000100100101
3211002021120010221110021
43113021111123010211
512241102320244023
6254043001355141
722455445656025
oct3271125330445
9732246127407
10231011103013
1189a75821959
1238931198ab1
1318a2700b082
14b276927a85
156020c2435d
hex35c955b125

231011103013 has 2 divisors, whose sum is σ = 231011103014. Its totient is φ = 231011103012.

The previous prime is 231011102989. The next prime is 231011103031. The reversal of 231011103013 is 310301110132.

231011103013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (231011103031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174776671969 + 56234431044 = 418063^2 + 237138^2 .

It is a cyclic number.

It is not a de Polignac number, because 231011103013 - 233 = 222421168421 is a prime.

It is a super-2 number, since 2×2310111030132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231011103073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115505551506 + 115505551507.

It is an arithmetic number, because the mean of its divisors is an integer number (115505551507).

Almost surely, 2231011103013 is an apocalyptic number.

It is an amenable number.

231011103013 is a deficient number, since it is larger than the sum of its proper divisors (1).

231011103013 is an equidigital number, since it uses as much as digits as its factorization.

231011103013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 231011103013 its reverse (310301110132), we get a palindrome (541312213145).

The spelling of 231011103013 in words is "two hundred thirty-one billion, eleven million, one hundred three thousand, thirteen".