Search a number
-
+
23122021333 is a prime number
BaseRepresentation
bin10101100010001011…
…100000101111010101
32012200102011101101111
4111202023200233111
5334323214140313
614342213055021
71445661636625
oct254213405725
965612141344
1023122021333
119895861944
124593627471
132246443138
141194bb2885
15904db443d
hex5622e0bd5

23122021333 has 2 divisors, whose sum is σ = 23122021334. Its totient is φ = 23122021332.

The previous prime is 23122021331. The next prime is 23122021337. The reversal of 23122021333 is 33312022132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23038079089 + 83942244 = 151783^2 + 9162^2 .

It is a cyclic number.

It is not a de Polignac number, because 23122021333 - 21 = 23122021331 is a prime.

Together with 23122021331, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23122021331) 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, 11561010666 + 11561010667.

It is an arithmetic number, because the mean of its divisors is an integer number (11561010667).

Almost surely, 223122021333 is an apocalyptic number.

It is an amenable number.

23122021333 is a deficient number, since it is larger than the sum of its proper divisors (1).

23122021333 is an equidigital number, since it uses as much as digits as its factorization.

23122021333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23122021333 its reverse (33312022132), we get a palindrome (56434043465).

The spelling of 23122021333 in words is "twenty-three billion, one hundred twenty-two million, twenty-one thousand, three hundred thirty-three".