Search a number
-
+
12310010131201 is a prime number
BaseRepresentation
bin1011001100100010010111…
…0001111111001100000001
31121120211021202211111001121
42303020211301333030001
53103141400043144301
642103050211032241
72410240345444006
oct263104561771401
947524252744047
1012310010131201
113a16711885902
12146991959b681
136b3aa1345143
14307b4435d8ad
151653292de3a1
hexb3225c7f301

12310010131201 has 2 divisors, whose sum is σ = 12310010131202. Its totient is φ = 12310010131200.

The previous prime is 12310010131163. The next prime is 12310010131241. The reversal of 12310010131201 is 10213101001321.

Adding to 12310010131201 its reverse (10213101001321), we get a palindrome (22523111132522).

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6782503496976 + 5527506634225 = 2604324^2 + 2351065^2 .

It is an emirp because it is prime and its reverse (10213101001321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12310010131201 - 27 = 12310010131073 is a prime.

It is a super-2 number, since 2×123100101312012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12310010131241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6155005065600 + 6155005065601.

It is an arithmetic number, because the mean of its divisors is an integer number (6155005065601).

Almost surely, 212310010131201 is an apocalyptic number.

It is an amenable number.

12310010131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12310010131201 is an equidigital number, since it uses as much as digits as its factorization.

12310010131201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 12310010131201 in words is "twelve trillion, three hundred ten billion, ten million, one hundred thirty-one thousand, two hundred one".