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202201323221 is a prime number
BaseRepresentation
bin1011110001010000100…
…0110101011011010101
3201022220202110111021002
42330110020311123111
511303102014320341
6232520124033045
720415510613652
oct2742410653325
9638822414232
10202201323221
1178831414997
1233230992785
13160b53c4bb1
149b025c4c29
1553d685329b
hex2f142356d5

202201323221 has 2 divisors, whose sum is σ = 202201323222. Its totient is φ = 202201323220.

The previous prime is 202201323197. The next prime is 202201323223. The reversal of 202201323221 is 122323102202.

It is a happy number.

202201323221 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., 146774038321 + 55427284900 = 383111^2 + 235430^2 .

It is a cyclic number.

It is not a de Polignac number, because 202201323221 - 230 = 201127581397 is a prime.

It is a super-2 number, since 2×2022013232212 (a number of 23 digits) contains 22 as substring.

Together with 202201323223, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 202201323193 and 202201323202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202201323223) 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, 101100661610 + 101100661611.

It is an arithmetic number, because the mean of its divisors is an integer number (101100661611).

Almost surely, 2202201323221 is an apocalyptic number.

It is an amenable number.

202201323221 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201323221 is an equidigital number, since it uses as much as digits as its factorization.

202201323221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 202201323221 its reverse (122323102202), we get a palindrome (324524425423).

The spelling of 202201323221 in words is "two hundred two billion, two hundred one million, three hundred twenty-three thousand, two hundred twenty-one".