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202212102221 is a prime number
BaseRepresentation
bin1011110001010011000…
…1111101000001001101
3201022221111202010021022
42330110301331001031
511303112244232341
6232521151043525
720416001336423
oct2742461750115
9638844663238
10202212102221
1178837507358
12332345105a5
13160b76ca1bc
149b03bcd113
1553d7781e4b
hex2f14c7d04d

202212102221 has 2 divisors, whose sum is σ = 202212102222. Its totient is φ = 202212102220.

The previous prime is 202212102193. The next prime is 202212102227. The reversal of 202212102221 is 122201212202.

It is a happy number.

202212102221 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., 111122222500 + 91089879721 = 333350^2 + 301811^2 .

It is a cyclic number.

It is not a de Polignac number, because 202212102221 - 222 = 202207907917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202212102221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202212102227) 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, 101106051110 + 101106051111.

It is an arithmetic number, because the mean of its divisors is an integer number (101106051111).

Almost surely, 2202212102221 is an apocalyptic number.

It is an amenable number.

202212102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

202212102221 is an equidigital number, since it uses as much as digits as its factorization.

202212102221 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 202212102221 its reverse (122201212202), we get a palindrome (324413314423).

The spelling of 202212102221 in words is "two hundred two billion, two hundred twelve million, one hundred two thousand, two hundred twenty-one".