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1000122133217 is a prime number
BaseRepresentation
bin11101000110110111110…
…11001010101011100001
310112121111020020102202112
432203123323022223201
5112341222231230332
62043241052125105
7132153646603364
oct16433373125341
93477436212675
101000122133217
11356170964439
121419b6a66795
137340768b70c
143659875a0db
151b03733ddb2
hexe8dbecaae1

1000122133217 has 2 divisors, whose sum is σ = 1000122133218. Its totient is φ = 1000122133216.

The previous prime is 1000122133187. The next prime is 1000122133249. The reversal of 1000122133217 is 7123312210001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 942833232016 + 57288901201 = 970996^2 + 239351^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000122133217 - 210 = 1000122132193 is a prime.

It is a super-3 number, since 3×10001221332173 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000122133192 and 1000122133201.

It is not a weakly prime, because it can be changed into another prime (1000122139217) 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, 500061066608 + 500061066609.

It is an arithmetic number, because the mean of its divisors is an integer number (500061066609).

Almost surely, 21000122133217 is an apocalyptic number.

It is an amenable number.

1000122133217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000122133217 is an equidigital number, since it uses as much as digits as its factorization.

1000122133217 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.

Adding to 1000122133217 its reverse (7123312210001), we get a palindrome (8123434343218).

The spelling of 1000122133217 in words is "one trillion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred seventeen".