Search a number
-
+
221133303049 is a prime number
BaseRepresentation
bin1100110111110010010…
…0100110110100001001
3210010210011022201021011
43031330210212310021
512110340111144144
6245330502043521
721655614030301
oct3157444466411
9703704281234
10221133303049
1185866a9160a
1236a351195a1
1317b11738019
14a9baad4601
155b43953a34
hex337c926d09

221133303049 has 2 divisors, whose sum is σ = 221133303050. Its totient is φ = 221133303048.

The previous prime is 221133302993. The next prime is 221133303059. The reversal of 221133303049 is 940303331122.

221133303049 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., 150187251600 + 70946051449 = 387540^2 + 266357^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221133303049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221133303049.

It is not a weakly prime, because it can be changed into another prime (221133303059) 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, 110566651524 + 110566651525.

It is an arithmetic number, because the mean of its divisors is an integer number (110566651525).

Almost surely, 2221133303049 is an apocalyptic number.

It is an amenable number.

221133303049 is a deficient number, since it is larger than the sum of its proper divisors (1).

221133303049 is an equidigital number, since it uses as much as digits as its factorization.

221133303049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 31.

The spelling of 221133303049 in words is "two hundred twenty-one billion, one hundred thirty-three million, three hundred three thousand, forty-nine".