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200221122217 is a prime number
BaseRepresentation
bin1011101001111000011…
…0111101111010101001
3201010210202100212011011
42322132012331322221
511240023101402332
6231551425303521
720315444313124
oct2723606757251
9633722325134
10200221122217
1177a05670636
1232979794ba1
1315b5b09061c
1499956013bb
15531caa1e47
hex2e9e1bdea9

200221122217 has 2 divisors, whose sum is σ = 200221122218. Its totient is φ = 200221122216.

The previous prime is 200221122151. The next prime is 200221122223. The reversal of 200221122217 is 712221122002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188793726016 + 11427396201 = 434504^2 + 106899^2 .

It is a cyclic number.

It is not a de Polignac number, because 200221122217 - 27 = 200221122089 is a prime.

It is not a weakly prime, because it can be changed into another prime (200221122317) 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, 100110561108 + 100110561109.

It is an arithmetic number, because the mean of its divisors is an integer number (100110561109).

Almost surely, 2200221122217 is an apocalyptic number.

It is an amenable number.

200221122217 is a deficient number, since it is larger than the sum of its proper divisors (1).

200221122217 is an equidigital number, since it uses as much as digits as its factorization.

200221122217 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 200221122217 its reverse (712221122002), we get a palindrome (912442244219).

The spelling of 200221122217 in words is "two hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred seventeen".