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221223201217 is a prime number
BaseRepresentation
bin1100111000000111101…
…1100010100111000001
3210011000102111000100221
43032001323202213001
512111031114414332
6245343432543041
721661055120134
oct3160173424701
9704012430327
10221223201217
1185902803417
1236a5b251a81
1317b272527c5
14a9c8a1621b
155b4b7b0297
hex3381ee29c1

221223201217 has 2 divisors, whose sum is σ = 221223201218. Its totient is φ = 221223201216.

The previous prime is 221223201193. The next prime is 221223201229. The reversal of 221223201217 is 712102322122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221096503681 + 126697536 = 470209^2 + 11256^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221223201217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221223201191 and 221223201200.

It is not a weakly prime, because it can be changed into another prime (221223211217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110611600608 + 110611600609.

It is an arithmetic number, because the mean of its divisors is an integer number (110611600609).

Almost surely, 2221223201217 is an apocalyptic number.

It is an amenable number.

221223201217 is a deficient number, since it is larger than the sum of its proper divisors (1).

221223201217 is an equidigital number, since it uses as much as digits as its factorization.

221223201217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 221223201217 its reverse (712102322122), we get a palindrome (933325523339).

The spelling of 221223201217 in words is "two hundred twenty-one billion, two hundred twenty-three million, two hundred one thousand, two hundred seventeen".