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210022212111137 is a prime number
BaseRepresentation
bin101111110000001110011011…
…010110010000101100100001
31000112121221001001212110122122
4233300032123112100230201
5210012000442300024022
62022402512225114025
762144414126546456
oct5760163326205441
91015557031773578
10210022212111137
1160a12a13518208
121b67b865a88915
1390260181a411a
1439c11b4b4982d
15194325e05d742
hexbf039b590b21

210022212111137 has 2 divisors, whose sum is σ = 210022212111138. Its totient is φ = 210022212111136.

The previous prime is 210022212111043. The next prime is 210022212111143. The reversal of 210022212111137 is 731111212220012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108477411732001 + 101544800379136 = 10415249^2 + 10076944^2 .

It is a cyclic number.

It is not a de Polignac number, because 210022212111137 - 236 = 209953492634401 is a prime.

It is not a weakly prime, because it can be changed into another prime (210022212111157) 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, 105011106055568 + 105011106055569.

It is an arithmetic number, because the mean of its divisors is an integer number (105011106055569).

Almost surely, 2210022212111137 is an apocalyptic number.

It is an amenable number.

210022212111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

210022212111137 is an equidigital number, since it uses as much as digits as its factorization.

210022212111137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 210022212111137 its reverse (731111212220012), we get a palindrome (941133424331149).

The spelling of 210022212111137 in words is "two hundred ten trillion, twenty-two billion, two hundred twelve million, one hundred eleven thousand, one hundred thirty-seven".