Search a number
-
+
22221211009973 is a prime number
BaseRepresentation
bin1010000110101110001110…
…11000111000001110110101
32220200022211101211222202012
411003113013120320032311
510403033020004304343
6115132141114454005
74452300216053123
oct503270730701665
986608741758665
1022221211009973
117097a65344828
1225aa752734305
13c525b33bc841
1456b725c6c913
15288058516718
hex1435c76383b5

22221211009973 has 2 divisors, whose sum is σ = 22221211009974. Its totient is φ = 22221211009972.

The previous prime is 22221211009969. The next prime is 22221211010081. The reversal of 22221211009973 is 37990011212222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20126412145009 + 2094798864964 = 4486247^2 + 1447342^2 .

It is a cyclic number.

It is not a de Polignac number, because 22221211009973 - 22 = 22221211009969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22221211009973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22221211009903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11110605504986 + 11110605504987.

It is an arithmetic number, because the mean of its divisors is an integer number (11110605504987).

Almost surely, 222221211009973 is an apocalyptic number.

It is an amenable number.

22221211009973 is a deficient number, since it is larger than the sum of its proper divisors (1).

22221211009973 is an equidigital number, since it uses as much as digits as its factorization.

22221211009973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 22221211009973 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred eleven million, nine thousand, nine hundred seventy-three".