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213815117 is a prime number
BaseRepresentation
bin11001011111010…
…00111101001101
3112220022221012102
430233220331031
5414214040432
633114444445
75204253455
oct1457507515
9486287172
10213815117
11aa76950a
125b733725
13353b3529
142057ad65
1513b87962
hexcbe8f4d

213815117 has 2 divisors, whose sum is σ = 213815118. Its totient is φ = 213815116.

The previous prime is 213815111. The next prime is 213815131. The reversal of 213815117 is 711518312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212547241 + 1267876 = 14579^2 + 1126^2 .

It is a cyclic number.

It is not a de Polignac number, because 213815117 - 216 = 213749581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213815117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213815111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106907558 + 106907559.

It is an arithmetic number, because the mean of its divisors is an integer number (106907559).

Almost surely, 2213815117 is an apocalyptic number.

It is an amenable number.

213815117 is a deficient number, since it is larger than the sum of its proper divisors (1).

213815117 is an equidigital number, since it uses as much as digits as its factorization.

213815117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1680, while the sum is 29.

The square root of 213815117 is about 14622.4183020457. The cubic root of 213815117 is about 597.9701004428.

The spelling of 213815117 in words is "two hundred thirteen million, eight hundred fifteen thousand, one hundred seventeen".