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3112212000217 is a prime number
BaseRepresentation
bin101101010010011110010…
…010100110110111011001
3102000112011101221111200011
4231102132102212313121
5401442302233001332
610341421440041521
7440564341343545
oct55223622466731
912015141844604
103112212000217
11a9a9775a2341
124232016032a1
131976323a0578
14aa8bbb9ca25
1555e50b28e47
hex2d49e4a6dd9

3112212000217 has 2 divisors, whose sum is σ = 3112212000218. Its totient is φ = 3112212000216.

The previous prime is 3112212000187. The next prime is 3112212000281. The reversal of 3112212000217 is 7120002122113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2451403964416 + 660808035801 = 1565696^2 + 812901^2 .

It is a cyclic number.

It is not a de Polignac number, because 3112212000217 - 27 = 3112212000089 is a prime.

It is a super-3 number, since 3×31122120002173 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3112212007217) 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, 1556106000108 + 1556106000109.

It is an arithmetic number, because the mean of its divisors is an integer number (1556106000109).

Almost surely, 23112212000217 is an apocalyptic number.

It is an amenable number.

3112212000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

3112212000217 is an equidigital number, since it uses as much as digits as its factorization.

3112212000217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 3112212000217 in words is "three trillion, one hundred twelve billion, two hundred twelve million, two hundred seventeen", and thus it is an aban number.