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1012001021917 is a prime number
BaseRepresentation
bin11101011100111111111…
…01100001111111011101
310120202011002110111122021
432232133331201333131
5113040034230200132
62052523514020141
7133054220520064
oct16563775417735
93522132414567
101012001021917
11360207215326
12144171117651
137457b6ca542
1436da424d1db
151b4d0139997
hexeb9ff61fdd

1012001021917 has 2 divisors, whose sum is σ = 1012001021918. Its totient is φ = 1012001021916.

The previous prime is 1012001021903. The next prime is 1012001022007. The reversal of 1012001021917 is 7191201002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 795460636996 + 216540384921 = 891886^2 + 465339^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1012001021917 is a prime.

It is a super-2 number, since 2×10120010219172 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012001021891 and 1012001021900.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012001024917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506000510958 + 506000510959.

It is an arithmetic number, because the mean of its divisors is an integer number (506000510959).

Almost surely, 21012001021917 is an apocalyptic number.

It is an amenable number.

1012001021917 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012001021917 is an equidigital number, since it uses as much as digits as its factorization.

1012001021917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 25.

The spelling of 1012001021917 in words is "one trillion, twelve billion, one million, twenty-one thousand, nine hundred seventeen".