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21042000333 = 322338000037
BaseRepresentation
bin10011100110001100…
…110111000111001101
32000022110020100222200
4103212030313013031
5321043223002313
613355551032113
71343304023514
oct234614670715
960273210880
1021042000333
118a1872a322
1240b2b0b639
131ca452bc93
14103884767b
15832496b73
hex4e63371cd

21042000333 has 6 divisors (see below), whose sum is σ = 30394000494. Its totient is φ = 14028000216.

The previous prime is 21042000313. The next prime is 21042000349. The reversal of 21042000333 is 33300024012.

21042000333 is a `hidden beast` number, since 210 + 420 + 0 + 0 + 3 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19244070729 + 1797929604 = 138723^2 + 42402^2 .

It is not a de Polignac number, because 21042000333 - 29 = 21041999821 is a prime.

It is a super-2 number, since 2×210420003332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21042000313) 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 in 5 ways as a sum of consecutive naturals, for example, 1169000010 + ... + 1169000027.

It is an arithmetic number, because the mean of its divisors is an integer number (5065666749).

Almost surely, 221042000333 is an apocalyptic number.

It is an amenable number.

21042000333 is a deficient number, since it is larger than the sum of its proper divisors (9352000161).

21042000333 is a wasteful number, since it uses less digits than its factorization.

21042000333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338000043 (or 2338000040 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21042000333 its reverse (33300024012), we get a palindrome (54342024345).

The spelling of 21042000333 in words is "twenty-one billion, forty-two million, three hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 9 2338000037 7014000111 21042000333