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312013213049 is a prime number
BaseRepresentation
bin1001000101001010110…
…11111100110101111001
31002211100201220110222202
410202211123330311321
520103000340304144
6355200433555545
731353656360156
oct4424533746571
91084321813882
10312013213049
1111036236304a
1250578715bb5
132356593b5b5
141115c7dd22d
1581b218e64e
hex48a56fcd79

312013213049 has 2 divisors, whose sum is σ = 312013213050. Its totient is φ = 312013213048.

The previous prime is 312013212991. The next prime is 312013213051. The reversal of 312013213049 is 940312310213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307586706025 + 4426507024 = 554605^2 + 66532^2 .

It is a cyclic number.

It is not a de Polignac number, because 312013213049 - 212 = 312013208953 is a prime.

Together with 312013213051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312013213069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156006606524 + 156006606525.

It is an arithmetic number, because the mean of its divisors is an integer number (156006606525).

Almost surely, 2312013213049 is an apocalyptic number.

It is an amenable number.

312013213049 is a deficient number, since it is larger than the sum of its proper divisors (1).

312013213049 is an equidigital number, since it uses as much as digits as its factorization.

312013213049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 312013213049 in words is "three hundred twelve billion, thirteen million, two hundred thirteen thousand, forty-nine".