Search a number
-
+
220100100217 is a prime number
BaseRepresentation
bin1100110011111011111…
…1010000000001111001
3210001010011011120102121
43030332333100001321
512101231111201332
6245040153001241
721621166661164
oct3147677200171
9701104146377
10220100100217
118538684aa78
12367a70b3221
13179a86740ba
14a91d7c2adb
155ad2db4797
hex333efd0079

220100100217 has 2 divisors, whose sum is σ = 220100100218. Its totient is φ = 220100100216.

The previous prime is 220100100203. The next prime is 220100100221. The reversal of 220100100217 is 712001001022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213569682496 + 6530417721 = 462136^2 + 80811^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220100100217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220100100217.

It is not a weakly prime, because it can be changed into another prime (220100100277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110050050108 + 110050050109.

It is an arithmetic number, because the mean of its divisors is an integer number (110050050109).

Almost surely, 2220100100217 is an apocalyptic number.

It is an amenable number.

220100100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

220100100217 is an equidigital number, since it uses as much as digits as its factorization.

220100100217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 220100100217 its reverse (712001001022), we get a palindrome (932101101239).

The spelling of 220100100217 in words is "two hundred twenty billion, one hundred million, one hundred thousand, two hundred seventeen".