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2022232221313 is a prime number
BaseRepresentation
bin11101011011010110011…
…011101110011010000001
321011022201211200201012021
4131123112123232122001
5231113012422040223
64145000050401441
7266046541160563
oct35332633563201
97138654621167
102022232221313
1170a695407807
12287b09590281
13118907542705
146dc3b3dd333
1537909bcc65d
hex1d6d66ee681

2022232221313 has 2 divisors, whose sum is σ = 2022232221314. Its totient is φ = 2022232221312.

The previous prime is 2022232221293. The next prime is 2022232221389. The reversal of 2022232221313 is 3131222322202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1470030152704 + 552202068609 = 1212448^2 + 743103^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2022232221313 is a prime.

It is a super-3 number, since 3×20222322213133 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2022232221013) 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, 1011116110656 + 1011116110657.

It is an arithmetic number, because the mean of its divisors is an integer number (1011116110657).

Almost surely, 22022232221313 is an apocalyptic number.

It is an amenable number.

2022232221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022232221313 is an equidigital number, since it uses as much as digits as its factorization.

2022232221313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2022232221313 its reverse (3131222322202), we get a palindrome (5153454543515).

The spelling of 2022232221313 in words is "two trillion, twenty-two billion, two hundred thirty-two million, two hundred twenty-one thousand, three hundred thirteen".