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2211011317 is a prime number
BaseRepresentation
bin1000001111001001…
…0101101011110101
312201002102000100001
42003302111223311
514012004330232
61003221351301
7105535200064
oct20362255365
95632360301
102211011317
11a35070589
12518568531
132930b8628
1416d9061db
15ce1946e7
hex83c95af5

2211011317 has 2 divisors, whose sum is σ = 2211011318. Its totient is φ = 2211011316.

The previous prime is 2211011311. The next prime is 2211011329. The reversal of 2211011317 is 7131101122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2169137476 + 41873841 = 46574^2 + 6471^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2211011317 is a prime.

It is a super-4 number, since 4×22110113174 (a number of 38 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2211011294 and 2211011303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211011311) 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, 1105505658 + 1105505659.

It is an arithmetic number, because the mean of its divisors is an integer number (1105505659).

Almost surely, 22211011317 is an apocalyptic number.

It is an amenable number.

2211011317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211011317 is an equidigital number, since it uses as much as digits as its factorization.

2211011317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 2211011317 is about 47021.3921210336. The cubic root of 2211011317 is about 1302.7577192244.

Adding to 2211011317 its reverse (7131101122), we get a palindrome (9342112439).

The spelling of 2211011317 in words is "two billion, two hundred eleven million, eleven thousand, three hundred seventeen".