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312210130217 is a prime number
BaseRepresentation
bin1001000101100010010…
…11001000010100101001
31002211212110102220120012
410202301023020110221
520103401243131332
6355232150341305
731361600214536
oct4426113102451
91084773386505
10312210130217
1111045352a907
125061265a835
132359768662b
141117aa1bd8d
1581c45da3b2
hex48b12c8529

312210130217 has 2 divisors, whose sum is σ = 312210130218. Its totient is φ = 312210130216.

The previous prime is 312210130187. The next prime is 312210130283. The reversal of 312210130217 is 712031012213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 258507166096 + 53702964121 = 508436^2 + 231739^2 .

It is a cyclic number.

It is not a de Polignac number, because 312210130217 - 224 = 312193353001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312210130192 and 312210130201.

It is not a weakly prime, because it can be changed into another prime (312210138217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156105065108 + 156105065109.

It is an arithmetic number, because the mean of its divisors is an integer number (156105065109).

Almost surely, 2312210130217 is an apocalyptic number.

It is an amenable number.

312210130217 is a deficient number, since it is larger than the sum of its proper divisors (1).

312210130217 is an equidigital number, since it uses as much as digits as its factorization.

312210130217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The spelling of 312210130217 in words is "three hundred twelve billion, two hundred ten million, one hundred thirty thousand, two hundred seventeen".