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2122313317 is a prime number
BaseRepresentation
bin111111001111111…
…1110111001100101
312110220111200112221
41332133332321211
513321303011232
6550332312341
7103410236245
oct17637767145
95426450487
102122313317
11999a99453
124b29126b1
1327a9011c7
14161c17b25
15c64c3897
hex7e7fee65

2122313317 has 2 divisors, whose sum is σ = 2122313318. Its totient is φ = 2122313316.

The previous prime is 2122313287. The next prime is 2122313329. The reversal of 2122313317 is 7133132212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1917651681 + 204661636 = 43791^2 + 14306^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122313317 - 27 = 2122313189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122313291 and 2122313300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122313617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061156658 + 1061156659.

It is an arithmetic number, because the mean of its divisors is an integer number (1061156659).

Almost surely, 22122313317 is an apocalyptic number.

It is an amenable number.

2122313317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122313317 is an equidigital number, since it uses as much as digits as its factorization.

2122313317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 25.

The square root of 2122313317 is about 46068.5719010260. The cubic root of 2122313317 is about 1285.0987457615.

Adding to 2122313317 its reverse (7133132212), we get a palindrome (9255445529).

The spelling of 2122313317 in words is "two billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred seventeen".