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2211310019 is a prime number
BaseRepresentation
bin1000001111001101…
…1110100111000011
312201002222012002002
42003303132213003
514012043410034
61003232014215
7105540552662
oct20363364703
95632865062
102211310019
11a35254a46
1251869136b
13293191589
1416d982dd9
15ce202e7e
hex83cde9c3

2211310019 has 2 divisors, whose sum is σ = 2211310020. Its totient is φ = 2211310018.

The previous prime is 2211310007. The next prime is 2211310021. The reversal of 2211310019 is 9100131122.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2211310019 is a prime.

It is a super-2 number, since 2×22113100192 = 9779784000259560722, which contains 22 as substring.

Together with 2211310021, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2211310039) 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, 1105655009 + 1105655010.

It is an arithmetic number, because the mean of its divisors is an integer number (1105655010).

Almost surely, 22211310019 is an apocalyptic number.

2211310019 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211310019 is an equidigital number, since it uses as much as digits as its factorization.

2211310019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 2211310019 is about 47024.5682489483. The cubic root of 2211310019 is about 1302.8163829998.

The spelling of 2211310019 in words is "two billion, two hundred eleven million, three hundred ten thousand, nineteen".