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312331200023 is a prime number
BaseRepresentation
bin1001000101110000110…
…00111110011000010111
31002212011220020220010002
410202320120332120113
520104123241400043
6355252153321515
731364600252663
oct4427030763027
91085156226102
10312331200023
111105059023a7
125064710629b
13235b679647b
141118cb358a3
1581d0052bb8
hex48b863e617

312331200023 has 2 divisors, whose sum is σ = 312331200024. Its totient is φ = 312331200022.

The previous prime is 312331200017. The next prime is 312331200029. The reversal of 312331200023 is 320002133213.

It is a balanced prime because it is at equal distance from previous prime (312331200017) and next prime (312331200029).

It is a cyclic number.

It is not a de Polignac number, because 312331200023 - 28 = 312331199767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312331199968 and 312331200004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312331200029) 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, 156165600011 + 156165600012.

It is an arithmetic number, because the mean of its divisors is an integer number (156165600012).

Almost surely, 2312331200023 is an apocalyptic number.

312331200023 is a deficient number, since it is larger than the sum of its proper divisors (1).

312331200023 is an equidigital number, since it uses as much as digits as its factorization.

312331200023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 312331200023 its reverse (320002133213), we get a palindrome (632333333236).

The spelling of 312331200023 in words is "three hundred twelve billion, three hundred thirty-one million, two hundred thousand, twenty-three".