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21130013033 is a prime number
BaseRepresentation
bin10011101011011100…
…100110100101101001
32000112120211212201022
4103223130212211221
5321233240404113
613412413302225
71345423101353
oct235334464551
960476755638
1021130013033
118a63383598
124118494975
131cb98364bc
1410463d80d3
1583a07e908
hex4eb726969

21130013033 has 2 divisors, whose sum is σ = 21130013034. Its totient is φ = 21130013032.

The previous prime is 21130013017. The next prime is 21130013041. The reversal of 21130013033 is 33031003112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14527963024 + 6602050009 = 120532^2 + 81253^2 .

It is a cyclic number.

It is not a de Polignac number, because 21130013033 - 24 = 21130013017 is a prime.

It is not a weakly prime, because it can be changed into another prime (21130019033) 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, 10565006516 + 10565006517.

It is an arithmetic number, because the mean of its divisors is an integer number (10565006517).

Almost surely, 221130013033 is an apocalyptic number.

It is an amenable number.

21130013033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21130013033 is an equidigital number, since it uses as much as digits as its factorization.

21130013033 is an odious number, because the sum of its binary digits is odd.

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

Adding to 21130013033 its reverse (33031003112), we get a palindrome (54161016145).

The spelling of 21130013033 in words is "twenty-one billion, one hundred thirty million, thirteen thousand, thirty-three".