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210010000117 is a prime number
BaseRepresentation
bin1100001110010110010…
…0100100101011110101
3202002001221212101012111
43003211210210223311
511420100030000432
6240251031051021
721113146355551
oct3034544445365
9662057771174
10210010000117
1181079196475
123484bb10a71
1316a5b0cb278
14a2436c8861
1556e215a347
hex30e5924af5

210010000117 has 2 divisors, whose sum is σ = 210010000118. Its totient is φ = 210010000116.

The previous prime is 210010000103. The next prime is 210010000127. The reversal of 210010000117 is 711000010012.

210010000117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151247876836 + 58762123281 = 388906^2 + 242409^2 .

It is a cyclic number.

It is not a de Polignac number, because 210010000117 - 27 = 210009999989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210010000097 and 210010000106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210010000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105005000058 + 105005000059.

It is an arithmetic number, because the mean of its divisors is an integer number (105005000059).

Almost surely, 2210010000117 is an apocalyptic number.

It is an amenable number.

210010000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

210010000117 is an equidigital number, since it uses as much as digits as its factorization.

210010000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 210010000117 its reverse (711000010012), we get a palindrome (921010010129).

The spelling of 210010000117 in words is "two hundred ten billion, ten million, one hundred seventeen", and thus it is an aban number.