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3112573815217 is a prime number
BaseRepresentation
bin101101010010110011110…
…110110100100110110001
3102000120002121202121112201
4231102303312310212301
5401444022344041332
610341521403023201
7440606323620016
oct55226366644661
912016077677481
103112573815217
11aa00428572a9
124232a280ab01
1319768c332499
14aa913c6370d
1555e727985e7
hex2d4b3db49b1

3112573815217 has 2 divisors, whose sum is σ = 3112573815218. Its totient is φ = 3112573815216.

The previous prime is 3112573815157. The next prime is 3112573815223. The reversal of 3112573815217 is 7125183752113.

3112573815217 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2992747761936 + 119826053281 = 1729956^2 + 346159^2 .

It is a cyclic number.

It is not a de Polignac number, because 3112573815217 - 27 = 3112573815089 is a prime.

It is a super-2 number, since 2×31125738152172 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3112573815257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1556286907608 + 1556286907609.

It is an arithmetic number, because the mean of its divisors is an integer number (1556286907609).

Almost surely, 23112573815217 is an apocalyptic number.

It is an amenable number.

3112573815217 is a deficient number, since it is larger than the sum of its proper divisors (1).

3112573815217 is an equidigital number, since it uses as much as digits as its factorization.

3112573815217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 352800, while the sum is 46.

The spelling of 3112573815217 in words is "three trillion, one hundred twelve billion, five hundred seventy-three million, eight hundred fifteen thousand, two hundred seventeen".