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21312440041 = 37215567889
BaseRepresentation
bin10011110110010100…
…100000011011101001
32001000022010010112011
4103312110200123221
5322121441040131
613442451315521
71353066515464
oct236624403351
961008103464
1021312440041
119047353712
1241695abba1
132018579c89
1410627242db
1584b0b70b1
hex4f65206e9

21312440041 has 6 divisors (see below), whose sum is σ = 21904021230. Its totient is φ = 20736426816.

The previous prime is 21312439999. The next prime is 21312440161. The reversal of 21312440041 is 14004421312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7942374400 + 13370065641 = 89120^2 + 115629^2 .

It is not a de Polignac number, because 21312440041 - 29 = 21312439529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21312439994 and 21312440021.

It is not an unprimeable number, because it can be changed into a prime (21312441041) 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 in 5 ways as a sum of consecutive naturals, for example, 7782576 + ... + 7785313.

It is an arithmetic number, because the mean of its divisors is an integer number (3650670205).

Almost surely, 221312440041 is an apocalyptic number.

It is an amenable number.

21312440041 is a deficient number, since it is larger than the sum of its proper divisors (591581189).

21312440041 is an equidigital number, since it uses as much as digits as its factorization.

21312440041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15567963 (or 15567926 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21312440041 its reverse (14004421312), we get a palindrome (35316861353).

The spelling of 21312440041 in words is "twenty-one billion, three hundred twelve million, four hundred forty thousand, forty-one".

Divisors: 1 37 1369 15567889 576011893 21312440041