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312343132993 is a prime number
BaseRepresentation
bin1001000101110010001…
…10011111101101000001
31002212012201201011001221
410202321012133231001
520104134320223433
6355253301155041
731365103552663
oct4427106375501
91085181634057
10312343132993
11110511612861
125064b0bba81
13235b90b3ab8
1411190560533
1581d110d72d
hex48b919fb41

312343132993 has 2 divisors, whose sum is σ = 312343132994. Its totient is φ = 312343132992.

The previous prime is 312343132987. The next prime is 312343133021. The reversal of 312343132993 is 399231343213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207993459969 + 104349673024 = 456063^2 + 323032^2 .

It is a cyclic number.

It is not a de Polignac number, because 312343132993 - 225 = 312309578561 is a prime.

It is not a weakly prime, because it can be changed into another prime (312343132943) 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, 156171566496 + 156171566497.

It is an arithmetic number, because the mean of its divisors is an integer number (156171566497).

Almost surely, 2312343132993 is an apocalyptic number.

It is an amenable number.

312343132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

312343132993 is an equidigital number, since it uses as much as digits as its factorization.

312343132993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 314928, while the sum is 43.

The spelling of 312343132993 in words is "three hundred twelve billion, three hundred forty-three million, one hundred thirty-two thousand, nine hundred ninety-three".