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31212102122017 is a prime number
BaseRepresentation
bin1110001100011001000100…
…10000100111101000100001
311002111211220001200100212221
413012030202100213220201
513042334341120401032
6150214350342151041
76400666662416635
oct706144220475041
9132454801610787
1031212102122017
119a43a83a4a583
123601145a22481
13145539a0960ab
1479c960cb6dc5
15391d721a8597
hex1c6322427a21

31212102122017 has 2 divisors, whose sum is σ = 31212102122018. Its totient is φ = 31212102122016.

The previous prime is 31212102121999. The next prime is 31212102122029. The reversal of 31212102122017 is 71022120121213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30148050044176 + 1064052077841 = 5490724^2 + 1031529^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31212102122017 is a prime.

It is a super-2 number, since 2×312121021220172 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31212102121982 and 31212102122000.

It is not a weakly prime, because it can be changed into another prime (31212102128017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15606051061008 + 15606051061009.

It is an arithmetic number, because the mean of its divisors is an integer number (15606051061009).

Almost surely, 231212102122017 is an apocalyptic number.

It is an amenable number.

31212102122017 is a deficient number, since it is larger than the sum of its proper divisors (1).

31212102122017 is an equidigital number, since it uses as much as digits as its factorization.

31212102122017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 25.

The spelling of 31212102122017 in words is "thirty-one trillion, two hundred twelve billion, one hundred two million, one hundred twenty-two thousand, seventeen".