Search a number
-
+
223332310081 is a prime number
BaseRepresentation
bin1100111111111110100…
…1001001110001000001
3210100110102010211211001
43033333221021301001
512124341032410311
6250333014252001
722064245212436
oct3177751116101
9710412124731
10223332310081
11867952a30a1
1237349657001
13180a21ac70a
14ab48b93b8d
155c21a264c1
hex33ffa49c41

223332310081 has 2 divisors, whose sum is σ = 223332310082. Its totient is φ = 223332310080.

The previous prime is 223332310073. The next prime is 223332310127. The reversal of 223332310081 is 180013233322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129502818225 + 93829491856 = 359865^2 + 306316^2 .

It is a cyclic number.

It is not a de Polignac number, because 223332310081 - 23 = 223332310073 is a prime.

It is a super-2 number, since 2×2233323100812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (223332310001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111666155040 + 111666155041.

It is an arithmetic number, because the mean of its divisors is an integer number (111666155041).

Almost surely, 2223332310081 is an apocalyptic number.

It is an amenable number.

223332310081 is a deficient number, since it is larger than the sum of its proper divisors (1).

223332310081 is an equidigital number, since it uses as much as digits as its factorization.

223332310081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 223332310081 in words is "two hundred twenty-three billion, three hundred thirty-two million, three hundred ten thousand, eighty-one".