Search a number
-
+
210000001117 is a prime number
BaseRepresentation
bin1100001110010011111…
…0011011100001011101
3202002001021001101011011
43003210332123201131
511420040000013432
6240250032455221
721112665362134
oct3034476334135
9662037041134
10210000001117
1181073587035
12348486aa511
1316a59009cba
14a24224491b
1556e1332847
hex30e4f9b85d

210000001117 has 2 divisors, whose sum is σ = 210000001118. Its totient is φ = 210000001116.

The previous prime is 210000001111. The next prime is 210000001129. The reversal of 210000001117 is 711100000012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209993979001 + 6022116 = 458251^2 + 2454^2 .

It is a cyclic number.

It is not a de Polignac number, because 210000001117 - 227 = 209865783389 is a prime.

It is a super-3 number, since 3×2100000011173 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210000001097 and 210000001106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210000001111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105000000558 + 105000000559.

It is an arithmetic number, because the mean of its divisors is an integer number (105000000559).

Almost surely, 2210000001117 is an apocalyptic number.

It is an amenable number.

210000001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

210000001117 is an equidigital number, since it uses as much as digits as its factorization.

210000001117 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 210000001117 its reverse (711100000012), we get a palindrome (921100001129).

The spelling of 210000001117 in words is "two hundred ten billion, one thousand, one hundred seventeen".