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312211331297 is a prime number
BaseRepresentation
bin1001000101100010011…
…11101101100011100001
31002211212112200221010122
410202301033231203201
520103402100100142
6355232232210025
731361613346325
oct4426117554341
91084775627118
10312211331297
11110454180238
1250612b39915
13235979b7228
141117ac51985
1581c47761d2
hex48b13ed8e1

312211331297 has 2 divisors, whose sum is σ = 312211331298. Its totient is φ = 312211331296.

The previous prime is 312211331291. The next prime is 312211331303. The reversal of 312211331297 is 792133112213.

It is a balanced prime because it is at equal distance from previous prime (312211331291) and next prime (312211331303).

It can be written as a sum of positive squares in only one way, i.e., 308370306721 + 3841024576 = 555311^2 + 61976^2 .

It is an emirp because it is prime and its reverse (792133112213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312211331297 - 24 = 312211331281 is a prime.

It is not a weakly prime, because it can be changed into another prime (312211331291) 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, 156105665648 + 156105665649.

It is an arithmetic number, because the mean of its divisors is an integer number (156105665649).

Almost surely, 2312211331297 is an apocalyptic number.

It is an amenable number.

312211331297 is a deficient number, since it is larger than the sum of its proper divisors (1).

312211331297 is an equidigital number, since it uses as much as digits as its factorization.

312211331297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 35.

The spelling of 312211331297 in words is "three hundred twelve billion, two hundred eleven million, three hundred thirty-one thousand, two hundred ninety-seven".