Search a number
-
+
221323209493 is a prime number
BaseRepresentation
bin1100111000011111100…
…1000010101100010101
3210011021101122221221011
43032013321002230111
512111232220200433
6245401404252221
721663411145351
oct3160771025425
9704241587834
10221323209493
1185954200091
1236a88841071
1317b41b99cb9
14a9d800a461
155b554673cd
hex3387e42b15

221323209493 has 2 divisors, whose sum is σ = 221323209494. Its totient is φ = 221323209492.

The previous prime is 221323209409. The next prime is 221323209509. The reversal of 221323209493 is 394902323122.

221323209493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203309006404 + 18014203089 = 450898^2 + 134217^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221323209493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221323207493) 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, 110661604746 + 110661604747.

It is an arithmetic number, because the mean of its divisors is an integer number (110661604747).

Almost surely, 2221323209493 is an apocalyptic number.

It is an amenable number.

221323209493 is a deficient number, since it is larger than the sum of its proper divisors (1).

221323209493 is an equidigital number, since it uses as much as digits as its factorization.

221323209493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 221323209493 in words is "two hundred twenty-one billion, three hundred twenty-three million, two hundred nine thousand, four hundred ninety-three".