Search a number
-
+
22202054520133 is a prime number
BaseRepresentation
bin1010000110001010100011…
…00100101010110101000101
32220121111101100112110220111
411003011101210222311011
510402224301424121013
6115115252200433021
74451021415430405
oct503052144526505
986544340473814
1022202054520133
11708a924a74444
1225a6aa7178771
13c5084c6c0257
1456a8299da805
152877d686973d
hex14315192ad45

22202054520133 has 2 divisors, whose sum is σ = 22202054520134. Its totient is φ = 22202054520132.

The previous prime is 22202054520103. The next prime is 22202054520137. The reversal of 22202054520133 is 33102545020222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21795293742849 + 406760777284 = 4668543^2 + 637778^2 .

It is a cyclic number.

It is not a de Polignac number, because 22202054520133 - 225 = 22202020965701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22202054520095 and 22202054520104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22202054520137) 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, 11101027260066 + 11101027260067.

It is an arithmetic number, because the mean of its divisors is an integer number (11101027260067).

Almost surely, 222202054520133 is an apocalyptic number.

It is an amenable number.

22202054520133 is a deficient number, since it is larger than the sum of its proper divisors (1).

22202054520133 is an equidigital number, since it uses as much as digits as its factorization.

22202054520133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 22202054520133 its reverse (33102545020222), we get a palindrome (55304599540355).

The spelling of 22202054520133 in words is "twenty-two trillion, two hundred two billion, fifty-four million, five hundred twenty thousand, one hundred thirty-three".