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2117102093 is a prime number
BaseRepresentation
bin111111000110000…
…0110101000001101
312110112200221002122
41332030012220031
513313434231333
6550024502325
7103315033211
oct17614065015
95415627078
102117102093
1199705a157
124b101a9a5
132797c8242
1416125c941
15c5ce4798
hex7e306a0d

2117102093 has 2 divisors, whose sum is σ = 2117102094. Its totient is φ = 2117102092.

The previous prime is 2117102081. The next prime is 2117102131. The reversal of 2117102093 is 3902017112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2086388329 + 30713764 = 45677^2 + 5542^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117102093 - 24 = 2117102077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2117102063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058551046 + 1058551047.

It is an arithmetic number, because the mean of its divisors is an integer number (1058551047).

Almost surely, 22117102093 is an apocalyptic number.

It is an amenable number.

2117102093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117102093 is an equidigital number, since it uses as much as digits as its factorization.

2117102093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 2117102093 is about 46011.9777123305. The cubic root of 2117102093 is about 1284.0460538422.

The spelling of 2117102093 in words is "two billion, one hundred seventeen million, one hundred two thousand, ninety-three".