Search a number
-
+
220022100073 is a prime number
BaseRepresentation
bin1100110011101001010…
…1101101000001101001
3210000220201101202100101
43030322111231001221
512101101124200243
6245024325105401
721616231664416
oct3147225550151
9700821352311
10220022100073
1185346815346
1236784b58261
1317995464079
14a9132bb10d
155acb10854d
hex333a56d069

220022100073 has 2 divisors, whose sum is σ = 220022100074. Its totient is φ = 220022100072.

The previous prime is 220022100071. The next prime is 220022100119. The reversal of 220022100073 is 370001220022.

220022100073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115038323929 + 104983776144 = 339173^2 + 324012^2 .

It is a cyclic number.

It is not a de Polignac number, because 220022100073 - 21 = 220022100071 is a prime.

Together with 220022100071, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 220022100073.

It is not a weakly prime, because it can be changed into another prime (220022100071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110011050036 + 110011050037.

It is an arithmetic number, because the mean of its divisors is an integer number (110011050037).

Almost surely, 2220022100073 is an apocalyptic number.

It is an amenable number.

220022100073 is a deficient number, since it is larger than the sum of its proper divisors (1).

220022100073 is an equidigital number, since it uses as much as digits as its factorization.

220022100073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 19.

Adding to 220022100073 its reverse (370001220022), we get a palindrome (590023320095).

The spelling of 220022100073 in words is "two hundred twenty billion, twenty-two million, one hundred thousand, seventy-three".