Search a number
-
+
21033112213 is a prime number
BaseRepresentation
bin10011100101101010…
…111101001010010101
32000021211111210210001
4103211222331022111
5321033434042323
613355032331301
71343135334601
oct234552751225
960254453701
1021033112213
118a13709573
1240abb43b31
131ca2739539
1410375b2501
158317dd3ad
hex4e5abd295

21033112213 has 2 divisors, whose sum is σ = 21033112214. Its totient is φ = 21033112212.

The previous prime is 21033112211. The next prime is 21033112229. The reversal of 21033112213 is 31221133012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12246299569 + 8786812644 = 110663^2 + 93738^2 .

It is a cyclic number.

It is not a de Polignac number, because 21033112213 - 21 = 21033112211 is a prime.

Together with 21033112211, 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 (21033112211) 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, 10516556106 + 10516556107.

It is an arithmetic number, because the mean of its divisors is an integer number (10516556107).

Almost surely, 221033112213 is an apocalyptic number.

It is an amenable number.

21033112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

21033112213 is an equidigital number, since it uses as much as digits as its factorization.

21033112213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21033112213 its reverse (31221133012), we get a palindrome (52254245225).

The spelling of 21033112213 in words is "twenty-one billion, thirty-three million, one hundred twelve thousand, two hundred thirteen".