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10201103117 is a prime number
BaseRepresentation
bin10011000000000100…
…00111101100001101
3222022221011201201222
421200002013230031
5131342440244432
64404125013125
7510535642262
oct114002075415
928287151658
1010201103117
114365290837
121b883b41a5
13c6756c8ba
146cab51269
153ea884112
hex260087b0d

10201103117 has 2 divisors, whose sum is σ = 10201103118. Its totient is φ = 10201103116.

The previous prime is 10201103063. The next prime is 10201103123. The reversal of 10201103117 is 71130110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8162941801 + 2038161316 = 90349^2 + 45146^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201103117 - 220 = 10200054541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201103095 and 10201103104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201103177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100551558 + 5100551559.

It is an arithmetic number, because the mean of its divisors is an integer number (5100551559).

Almost surely, 210201103117 is an apocalyptic number.

It is an amenable number.

10201103117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201103117 is an equidigital number, since it uses as much as digits as its factorization.

10201103117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 10201103117 its reverse (71130110201), we get a palindrome (81331213318).

The spelling of 10201103117 in words is "ten billion, two hundred one million, one hundred three thousand, one hundred seventeen".