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2210333117 is a prime number
BaseRepresentation
bin1000001110111111…
…0000000110111101
312201001010120000112
42003233300012331
514011321124432
61003155035405
7105526343606
oct20357600675
95631116015
102210333117
11a34747a93
1251829bb65
13292c0ba25
1416d7aadad
15ce0ad7b2
hex83bf01bd

2210333117 has 2 divisors, whose sum is σ = 2210333118. Its totient is φ = 2210333116.

The previous prime is 2210333089. The next prime is 2210333119. The reversal of 2210333117 is 7113330122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2207214361 + 3118756 = 46981^2 + 1766^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210333117 - 216 = 2210267581 is a prime.

Together with 2210333119, 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 = 2210333092 and 2210333101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210333119) 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, 1105166558 + 1105166559.

It is an arithmetic number, because the mean of its divisors is an integer number (1105166559).

It is a self-describing number.

Almost surely, 22210333117 is an apocalyptic number.

It is an amenable number.

2210333117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210333117 is an equidigital number, since it uses as much as digits as its factorization.

2210333117 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 23.

The square root of 2210333117 is about 47014.1799566897. The cubic root of 2210333117 is about 1302.6245040706.

Adding to 2210333117 its reverse (7113330122), we get a palindrome (9323663239).

The spelling of 2210333117 in words is "two billion, two hundred ten million, three hundred thirty-three thousand, one hundred seventeen".