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2211312317 is a prime number
BaseRepresentation
bin1000001111001101…
…1111001010111101
312201002222022020012
42003303133022331
514012043443232
61003232033005
7105540562454
oct20363371275
95632868205
102211312317
11a35256745
12518692765
13293192636
1416d983b9b
15ce2039b2
hex83cdf2bd

2211312317 has 2 divisors, whose sum is σ = 2211312318. Its totient is φ = 2211312316.

The previous prime is 2211312251. The next prime is 2211312331. The reversal of 2211312317 is 7132131122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1455117316 + 756195001 = 38146^2 + 27499^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211312317 - 222 = 2207118013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2211312292 and 2211312301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211312347) 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, 1105656158 + 1105656159.

It is an arithmetic number, because the mean of its divisors is an integer number (1105656159).

Almost surely, 22211312317 is an apocalyptic number.

It is an amenable number.

2211312317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211312317 is an equidigital number, since it uses as much as digits as its factorization.

2211312317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 23.

The square root of 2211312317 is about 47024.5926829781. The cubic root of 2211312317 is about 1302.8168342965.

Adding to 2211312317 its reverse (7132131122), we get a palindrome (9343443439).

The spelling of 2211312317 in words is "two billion, two hundred eleven million, three hundred twelve thousand, three hundred seventeen".