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312321032211059 is a prime number
BaseRepresentation
bin100011100000011011110100…
…0001011100100101001110011
31111221211121011201202202000122
41013000313220023210221303
5311414031433221223214
63024130145040440455
7122533310221330514
oct10700675013445163
91457747151682018
10312321032211059
1190573673544033
122b041aa991912b
13105369931055b1
14571a5c0972a0b
1526192c05ee88e
hex11c0de82e4a73

312321032211059 has 2 divisors, whose sum is σ = 312321032211060. Its totient is φ = 312321032211058.

The previous prime is 312321032211007. The next prime is 312321032211113. The reversal of 312321032211059 is 950112230123213.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312321032211059 is a prime.

It is a super-2 number, since 2×3123210322110592 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312321032210059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156160516105529 + 156160516105530.

It is an arithmetic number, because the mean of its divisors is an integer number (156160516105530).

Almost surely, 2312321032211059 is an apocalyptic number.

312321032211059 is a deficient number, since it is larger than the sum of its proper divisors (1).

312321032211059 is an equidigital number, since it uses as much as digits as its factorization.

312321032211059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 312321032211059 in words is "three hundred twelve trillion, three hundred twenty-one billion, thirty-two million, two hundred eleven thousand, fifty-nine".