Search a number
-
+
10021010093617 is a prime number
BaseRepresentation
bin1001000111010011001010…
…1111110011011000110001
31022110222222102102121000211
42101310302233303120301
52303141012040443432
633151331040144121
72052664654241455
oct221646257633061
938428872377024
1010021010093617
113213982a50356
12115a180008041
13578c91b95693
1426903b62c665
15125a096d5d47
hex91d32bf3631

10021010093617 has 2 divisors, whose sum is σ = 10021010093618. Its totient is φ = 10021010093616.

The previous prime is 10021010093603. The next prime is 10021010093623. The reversal of 10021010093617 is 71639001012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9132296636961 + 888713456656 = 3021969^2 + 942716^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10021010093617 is a prime.

It is not a weakly prime, because it can be changed into another prime (10021010093917) 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, 5010505046808 + 5010505046809.

It is an arithmetic number, because the mean of its divisors is an integer number (5010505046809).

Almost surely, 210021010093617 is an apocalyptic number.

It is an amenable number.

10021010093617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021010093617 is an equidigital number, since it uses as much as digits as its factorization.

10021010093617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 10021010093617 in words is "ten trillion, twenty-one billion, ten million, ninety-three thousand, six hundred seventeen".