Search a number
-
+
21331100033 is a prime number
BaseRepresentation
bin10011110111011011…
…101100000110000001
32001001121020011012222
4103313123230012001
5322141230200113
613444355300425
71353414234005
oct236733540601
961047204188
1021331100033
1190569391a1
1241738aa715
13201c3b14a9
141064dc0705
1584ca50e08
hex4f76ec181

21331100033 has 2 divisors, whose sum is σ = 21331100034. Its totient is φ = 21331100032.

The previous prime is 21331100023. The next prime is 21331100039. The reversal of 21331100033 is 33000113312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14440107889 + 6890992144 = 120167^2 + 83012^2 .

It is a cyclic number.

It is not a de Polignac number, because 21331100033 - 222 = 21326905729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21331099984 and 21331100020.

It is not a weakly prime, because it can be changed into another prime (21331100039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10665550016 + 10665550017.

It is an arithmetic number, because the mean of its divisors is an integer number (10665550017).

Almost surely, 221331100033 is an apocalyptic number.

It is an amenable number.

21331100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21331100033 is an equidigital number, since it uses as much as digits as its factorization.

21331100033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 21331100033 its reverse (33000113312), we get a palindrome (54331213345).

The spelling of 21331100033 in words is "twenty-one billion, three hundred thirty-one million, one hundred thousand, thirty-three".