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22211311313 is a prime number
BaseRepresentation
bin10100101011111001…
…011011011011010001
32010022221111112002202
4110223321123123101
5330442043430223
614112001252545
71414263013442
oct245371333321
963287445082
1022211311313
119468784a34
12437a634155
13212c869979
141109c692c9
1589ee6e428
hex52be5b6d1

22211311313 has 2 divisors, whose sum is σ = 22211311314. Its totient is φ = 22211311312.

The previous prime is 22211311279. The next prime is 22211311349. The reversal of 22211311313 is 31311311222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18634434064 + 3576877249 = 136508^2 + 59807^2 .

It is a cyclic number.

It is not a de Polignac number, because 22211311313 - 26 = 22211311249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22211310313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11105655656 + 11105655657.

It is an arithmetic number, because the mean of its divisors is an integer number (11105655657).

Almost surely, 222211311313 is an apocalyptic number.

It is an amenable number.

22211311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22211311313 is an equidigital number, since it uses as much as digits as its factorization.

22211311313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 20.

Adding to 22211311313 its reverse (31311311222), we get a palindrome (53522622535).

Subtracting 22211311313 from its reverse (31311311222), we obtain a palindrome (9099999909).

The spelling of 22211311313 in words is "twenty-two billion, two hundred eleven million, three hundred eleven thousand, three hundred thirteen".