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2008313117 is a prime number
BaseRepresentation
bin111011110110100…
…0110110100011101
312011221222212200022
41313231012310131
513103112004432
6531141041525
7100524244166
oct16755066435
95157885608
102008313117
11940705408
124806b62a5
132600c8175
14150a2076d
15bb4a5b12
hex77b46d1d

2008313117 has 2 divisors, whose sum is σ = 2008313118. Its totient is φ = 2008313116.

The previous prime is 2008313113. The next prime is 2008313143. The reversal of 2008313117 is 7113138002.

It is an a-pointer prime, because the next prime (2008313143) can be obtained adding 2008313117 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1286369956 + 721943161 = 35866^2 + 26869^2 .

It is a cyclic number.

It is not a de Polignac number, because 2008313117 - 22 = 2008313113 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2008313113) 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, 1004156558 + 1004156559.

It is an arithmetic number, because the mean of its divisors is an integer number (1004156559).

Almost surely, 22008313117 is an apocalyptic number.

It is an amenable number.

2008313117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2008313117 is an equidigital number, since it uses as much as digits as its factorization.

2008313117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 2008313117 is about 44814.2066425369. The cubic root of 2008313117 is about 1261.6642820222.

The spelling of 2008313117 in words is "two billion, eight million, three hundred thirteen thousand, one hundred seventeen".