Search a number
-
+
22323331201 is a prime number
BaseRepresentation
bin10100110010100100…
…110000000010000001
32010121202021201111111
4110302210300002001
5331204233044301
614131042243321
71420123120153
oct246244600201
963552251444
1022323331201
119515a36156
1243b0056541
132149b2b522
14111aaa8ad3
158a9bea551
hex532930081

22323331201 has 2 divisors, whose sum is σ = 22323331202. Its totient is φ = 22323331200.

The previous prime is 22323331187. The next prime is 22323331241. The reversal of 22323331201 is 10213332322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11678044225 + 10645286976 = 108065^2 + 103176^2 .

It is a cyclic number.

It is not a de Polignac number, because 22323331201 - 231 = 20175847553 is a prime.

It is a super-3 number, since 3×223233312013 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (22323331241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11161665600 + 11161665601.

It is an arithmetic number, because the mean of its divisors is an integer number (11161665601).

Almost surely, 222323331201 is an apocalyptic number.

It is an amenable number.

22323331201 is a deficient number, since it is larger than the sum of its proper divisors (1).

22323331201 is an equidigital number, since it uses as much as digits as its factorization.

22323331201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 22323331201 its reverse (10213332322), we get a palindrome (32536663523).

The spelling of 22323331201 in words is "twenty-two billion, three hundred twenty-three million, three hundred thirty-one thousand, two hundred one".