Search a number
-
+
22101311009 is a prime number
BaseRepresentation
bin10100100101010101…
…110011111000100001
32010001021111221001102
4110211111303320201
5330230413423014
614053031444145
71411456021031
oct244525637041
963037457042
1022101311009
119411683098
124349826655
132112b3442b
1410d93d38c1
158954918de
hex525573e21

22101311009 has 2 divisors, whose sum is σ = 22101311010. Its totient is φ = 22101311008.

The previous prime is 22101310991. The next prime is 22101311051. The reversal of 22101311009 is 90011310122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13508947984 + 8592363025 = 116228^2 + 92695^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101311009 - 228 = 21832875553 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101311069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050655504 + 11050655505.

It is an arithmetic number, because the mean of its divisors is an integer number (11050655505).

Almost surely, 222101311009 is an apocalyptic number.

It is an amenable number.

22101311009 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101311009 is an equidigital number, since it uses as much as digits as its factorization.

22101311009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 22101311009 in words is "twenty-two billion, one hundred one million, three hundred eleven thousand, nine".