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21122132233 is a prime number
BaseRepresentation
bin10011101010111110…
…100010100100001001
32000112001000111021211
4103222332202210021
5321224231212413
613411532333121
71345266106306
oct235276424411
960461014254
1021122132233
118a59990634
1241159141a1
131cb80073c7
1410453460ad
1583952483d
hex4eafa2909

21122132233 has 2 divisors, whose sum is σ = 21122132234. Its totient is φ = 21122132232.

The previous prime is 21122132231. The next prime is 21122132327. The reversal of 21122132233 is 33223122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11108527609 + 10013604624 = 105397^2 + 100068^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122132233 - 21 = 21122132231 is a prime.

It is a super-2 number, since 2×211221322332 (a number of 21 digits) contains 22 as substring.

Together with 21122132231, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (21122132231) 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, 10561066116 + 10561066117.

It is an arithmetic number, because the mean of its divisors is an integer number (10561066117).

Almost surely, 221122132233 is an apocalyptic number.

It is an amenable number.

21122132233 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122132233 is an equidigital number, since it uses as much as digits as its factorization.

21122132233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 22.

Adding to 21122132233 its reverse (33223122112), we get a palindrome (54345254345).

The spelling of 21122132233 in words is "twenty-one billion, one hundred twenty-two million, one hundred thirty-two thousand, two hundred thirty-three".