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312002520097 is a prime number
BaseRepresentation
bin1001000101001001100…
…11001010010000100001
31002211022222210020000111
410202210303022100201
520102440121120342
6355155412451321
731353466443322
oct4424463122041
91084288706014
10312002520097
1111035731a2a4
1250575019b41
13235636664c8
141115b218449
1581b127b217
hex48a4cca421

312002520097 has 2 divisors, whose sum is σ = 312002520098. Its totient is φ = 312002520096.

The previous prime is 312002520059. The next prime is 312002520127. The reversal of 312002520097 is 790025200213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251651719201 + 60350800896 = 501649^2 + 245664^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312002520097 is a prime.

It is not a weakly prime, because it can be changed into another prime (312002520997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156001260048 + 156001260049.

It is an arithmetic number, because the mean of its divisors is an integer number (156001260049).

Almost surely, 2312002520097 is an apocalyptic number.

It is an amenable number.

312002520097 is a deficient number, since it is larger than the sum of its proper divisors (1).

312002520097 is an equidigital number, since it uses as much as digits as its factorization.

312002520097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 312002520097 in words is "three hundred twelve billion, two million, five hundred twenty thousand, ninety-seven".