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2122313213 is a prime number
BaseRepresentation
bin111111001111111…
…1110110111111101
312110220111200102002
41332133332313331
513321303010323
6550332312045
7103410236036
oct17637766775
95426450362
102122313213
11999a99369
124b2912625
1327a901147
14161c17a8d
15c64c3828
hex7e7fedfd

2122313213 has 2 divisors, whose sum is σ = 2122313214. Its totient is φ = 2122313212.

The previous prime is 2122313191. The next prime is 2122313231. The reversal of 2122313213 is 3123132212.

Together with next prime (2122313231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2052724249 + 69588964 = 45307^2 + 8342^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122313213 - 214 = 2122296829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122313273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061156606 + 1061156607.

It is an arithmetic number, because the mean of its divisors is an integer number (1061156607).

Almost surely, 22122313213 is an apocalyptic number.

It is an amenable number.

2122313213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122313213 is an equidigital number, since it uses as much as digits as its factorization.

2122313213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 20.

The square root of 2122313213 is about 46068.5707722738. The cubic root of 2122313213 is about 1285.0987247702.

Adding to 2122313213 its reverse (3123132212), we get a palindrome (5245445425).

The spelling of 2122313213 in words is "two billion, one hundred twenty-two million, three hundred thirteen thousand, two hundred thirteen".