Search a number
-
+
222120110021 is a prime number
BaseRepresentation
bin1100111011011101100…
…0111110011111000101
3210020022221011200221112
43032313120332133011
512114400222010041
6250012432454405
722022225532455
oct3166730763705
9706287150845
10222120110021
1186223014267
123706b6aa405
1317c3b006184
14aa71ba9d65
155ba03cadeb
hex33b763e7c5

222120110021 has 2 divisors, whose sum is σ = 222120110022. Its totient is φ = 222120110020.

The previous prime is 222120109999. The next prime is 222120110039. The reversal of 222120110021 is 120011021222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169110112900 + 53009997121 = 411230^2 + 230239^2 .

It is a cyclic number.

It is not a de Polignac number, because 222120110021 - 234 = 204940240837 is a prime.

It is a super-2 number, since 2×2221201100212 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 222120109978 and 222120110005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222120116021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111060055010 + 111060055011.

It is an arithmetic number, because the mean of its divisors is an integer number (111060055011).

Almost surely, 2222120110021 is an apocalyptic number.

It is an amenable number.

222120110021 is a deficient number, since it is larger than the sum of its proper divisors (1).

222120110021 is an equidigital number, since it uses as much as digits as its factorization.

222120110021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222120110021 its reverse (120011021222), we get a palindrome (342131131243).

The spelling of 222120110021 in words is "two hundred twenty-two billion, one hundred twenty million, one hundred ten thousand, twenty-one".