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2101310117 is a prime number
BaseRepresentation
bin111110100111111…
…0111001010100101
312102102222121120122
41331033313022211
513300413410432
6544302211325
7103033561364
oct17517671245
95372877518
102101310117
11989153435
124a7883b45
1327645928a
1415d10b7db
15c4725612
hex7d3f72a5

2101310117 has 2 divisors, whose sum is σ = 2101310118. Its totient is φ = 2101310116.

The previous prime is 2101310077. The next prime is 2101310119. The reversal of 2101310117 is 7110131012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1496838721 + 604471396 = 38689^2 + 24586^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2101310117 is a prime.

Together with 2101310119, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101310095 and 2101310104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101310119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050655058 + 1050655059.

It is an arithmetic number, because the mean of its divisors is an integer number (1050655059).

Almost surely, 22101310117 is an apocalyptic number.

It is an amenable number.

2101310117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101310117 is an equidigital number, since it uses as much as digits as its factorization.

2101310117 is an evil number, because the sum of its binary digits is even.

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

The square root of 2101310117 is about 45840.0492691707. The cubic root of 2101310117 is about 1280.8454125695.

Adding to 2101310117 its reverse (7110131012), we get a palindrome (9211441129).

The spelling of 2101310117 in words is "two billion, one hundred one million, three hundred ten thousand, one hundred seventeen".