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202221000021217 is a prime number
BaseRepresentation
bin101101111110101100111110…
…110111110101010011100001
3222112000010202012000012111111
4231332230332313311103201
5203001142102001134332
61554031013411543321
760410661616103332
oct5576547667652341
9875003665005444
10202221000021217
1159485498692071
121a81b94b8bab41
1388ab487763a78
1437d17975d2289
15185a373e44947
hexb7eb3edf54e1

202221000021217 has 2 divisors, whose sum is σ = 202221000021218. Its totient is φ = 202221000021216.

The previous prime is 202221000021179. The next prime is 202221000021223. The reversal of 202221000021217 is 712120000122202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127961434496016 + 74259565525201 = 11312004^2 + 8617399^2 .

It is a cyclic number.

It is not a de Polignac number, because 202221000021217 - 211 = 202221000019169 is a prime.

It is a super-2 number, since 2×2022210000212172 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202221000021247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101110500010608 + 101110500010609.

It is an arithmetic number, because the mean of its divisors is an integer number (101110500010609).

Almost surely, 2202221000021217 is an apocalyptic number.

It is an amenable number.

202221000021217 is a deficient number, since it is larger than the sum of its proper divisors (1).

202221000021217 is an equidigital number, since it uses as much as digits as its factorization.

202221000021217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 22.

Adding to 202221000021217 its reverse (712120000122202), we get a palindrome (914341000143419).

The spelling of 202221000021217 in words is "two hundred two trillion, two hundred twenty-one billion, twenty-one thousand, two hundred seventeen".