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312330032222981 is a prime number
BaseRepresentation
bin100011100000100000000000…
…0100111111001001100000101
31111221212110101221212201101112
41013001000000213321030011
5311414203401222113411
63024134234102134405
7122534046234221363
oct10701000047711405
91457773357781345
10312330032222981
1190577471843213
122b04379ba21405
131053779888b136
14571abd5d8c633
15261964a7ceb8b
hex11c10009f9305

312330032222981 has 2 divisors, whose sum is σ = 312330032222982. Its totient is φ = 312330032222980.

The previous prime is 312330032222953. The next prime is 312330032223023. The reversal of 312330032222981 is 189222230033213.

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., 187228156061956 + 125101876161025 = 13683134^2 + 11184895^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312330032222981 is a prime.

It is a super-2 number, since 2×3123300322229812 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312330032222951) 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, 156165016111490 + 156165016111491.

It is an arithmetic number, because the mean of its divisors is an integer number (156165016111491).

Almost surely, 2312330032222981 is an apocalyptic number.

It is an amenable number.

312330032222981 is a deficient number, since it is larger than the sum of its proper divisors (1).

312330032222981 is an equidigital number, since it uses as much as digits as its factorization.

312330032222981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 312330032222981 in words is "three hundred twelve trillion, three hundred thirty billion, thirty-two million, two hundred twenty-two thousand, nine hundred eighty-one".