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312039000001 is a prime number
BaseRepresentation
bin1001000101001101111…
…10010100011111000001
31002211102112102121001001
410202212332110133001
520103023441000001
6355203154412001
731354421510611
oct4424676243701
91084375377031
10312039000001
11110375976183
1250585291001
132356b099a51
1411161dd2a41
1581b4585001
hex48a6f947c1

312039000001 has 2 divisors, whose sum is σ = 312039000002. Its totient is φ = 312039000000.

The previous prime is 312038999999. The next prime is 312039000011. The reversal of 312039000001 is 100000930213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195978863025 + 116060136976 = 442695^2 + 340676^2 .

It is a cyclic number.

It is not a de Polignac number, because 312039000001 - 21 = 312038999999 is a prime.

Together with 312038999999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312039000011) 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, 156019500000 + 156019500001.

It is an arithmetic number, because the mean of its divisors is an integer number (156019500001).

Almost surely, 2312039000001 is an apocalyptic number.

It is an amenable number.

312039000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312039000001 is an equidigital number, since it uses as much as digits as its factorization.

312039000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 312039000001 its reverse (100000930213), we get a palindrome (412039930214).

The spelling of 312039000001 in words is "three hundred twelve billion, thirty-nine million, one", and thus it is an aban number.