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202112122217 is a prime number
BaseRepresentation
bin1011110000111011010…
…0100011110101101001
3201022200112121121111012
42330032310203311221
511302411200402332
6232503220113305
720413345456505
oct2741664436551
9638615547435
10202112122217
1178796029955
1233206b35835
131609ca92835
149ad4805305
1553cdad33b2
hex2f0ed23d69

202112122217 has 2 divisors, whose sum is σ = 202112122218. Its totient is φ = 202112122216.

The previous prime is 202112122189. The next prime is 202112122229. The reversal of 202112122217 is 712221211202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201691708201 + 420414016 = 449101^2 + 20504^2 .

It is a cyclic number.

It is not a de Polignac number, because 202112122217 - 26 = 202112122153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202112122192 and 202112122201.

It is not a weakly prime, because it can be changed into another prime (202112122117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101056061108 + 101056061109.

It is an arithmetic number, because the mean of its divisors is an integer number (101056061109).

Almost surely, 2202112122217 is an apocalyptic number.

It is an amenable number.

202112122217 is a deficient number, since it is larger than the sum of its proper divisors (1).

202112122217 is an equidigital number, since it uses as much as digits as its factorization.

202112122217 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 23.

Adding to 202112122217 its reverse (712221211202), we get a palindrome (914333333419).

The spelling of 202112122217 in words is "two hundred two billion, one hundred twelve million, one hundred twenty-two thousand, two hundred seventeen".