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312313120181 is a prime number
BaseRepresentation
bin1001000101101110101…
…00000000010110110101
31002212010122020100020022
410202313110000112311
520104104124321211
6355250310014525
731364260502036
oct4426724002665
91085118210208
10312313120181
111104a6683787
1250641047445
13235b2b0603a
141118a58aa8d
1581cd680bdb
hex48b75005b5

312313120181 has 2 divisors, whose sum is σ = 312313120182. Its totient is φ = 312313120180.

The previous prime is 312313120169. The next prime is 312313120283. The reversal of 312313120181 is 181021313213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175867841956 + 136445278225 = 419366^2 + 369385^2 .

It is a cyclic number.

It is not a de Polignac number, because 312313120181 - 238 = 37435213237 is a prime.

It is a super-2 number, since 2×3123131201812 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312313120181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312313122181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156156560090 + 156156560091.

It is an arithmetic number, because the mean of its divisors is an integer number (156156560091).

Almost surely, 2312313120181 is an apocalyptic number.

It is an amenable number.

312313120181 is a deficient number, since it is larger than the sum of its proper divisors (1).

312313120181 is an equidigital number, since it uses as much as digits as its factorization.

312313120181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 312313120181 its reverse (181021313213), we get a palindrome (493334433394).

The spelling of 312313120181 in words is "three hundred twelve billion, three hundred thirteen million, one hundred twenty thousand, one hundred eighty-one".