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210222202097 is a prime number
BaseRepresentation
bin1100001111001000111…
…0000011110011110001
3202002121202011100121002
43003302032003303301
511421013340431342
6240324051211345
721121334143325
oct3036216036361
9662552140532
10210222202097
1181177a52a06
12348aaba6b55
1316a9306847b
14a263965985
155705ac4d32
hex30f2383cf1

210222202097 has 2 divisors, whose sum is σ = 210222202098. Its totient is φ = 210222202096.

The previous prime is 210222202063. The next prime is 210222202111. The reversal of 210222202097 is 790202222012.

210222202097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198202149601 + 12020052496 = 445199^2 + 109636^2 .

It is a cyclic number.

It is not a de Polignac number, because 210222202097 - 218 = 210221939953 is a prime.

It is a super-2 number, since 2×2102222020972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (210222205097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105111101048 + 105111101049.

It is an arithmetic number, because the mean of its divisors is an integer number (105111101049).

Almost surely, 2210222202097 is an apocalyptic number.

It is an amenable number.

210222202097 is a deficient number, since it is larger than the sum of its proper divisors (1).

210222202097 is an equidigital number, since it uses as much as digits as its factorization.

210222202097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 210222202097 in words is "two hundred ten billion, two hundred twenty-two million, two hundred two thousand, ninety-seven".