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202112220221 is a prime number
BaseRepresentation
bin1011110000111011010…
…0111011110000111101
3201022200112210120220222
42330032310323300331
511302411212021341
6232503222151125
720413346345312
oct2741664736075
9638615716828
10202112220221
117879609654a
1233206b824a5
131609cac8322
149ad482cd09
1553cdb0244b
hex2f0ed3bc3d

202112220221 has 2 divisors, whose sum is σ = 202112220222. Its totient is φ = 202112220220.

The previous prime is 202112220199. The next prime is 202112220229. The reversal of 202112220221 is 122022211202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200421859225 + 1690360996 = 447685^2 + 41114^2 .

It is a cyclic number.

It is not a de Polignac number, because 202112220221 - 26 = 202112220157 is a prime.

It is a super-4 number, since 4×2021122202214 (a number of 46 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202112220221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202112220229) 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, 101056110110 + 101056110111.

It is an arithmetic number, because the mean of its divisors is an integer number (101056110111).

Almost surely, 2202112220221 is an apocalyptic number.

It is an amenable number.

202112220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

202112220221 is an equidigital number, since it uses as much as digits as its factorization.

202112220221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202112220221 its reverse (122022211202), we get a palindrome (324134431423).

The spelling of 202112220221 in words is "two hundred two billion, one hundred twelve million, two hundred twenty thousand, two hundred twenty-one".