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10003312441 = 89917312253
BaseRepresentation
bin10010101000011111…
…00110111100111001
3221211010222220221101
421110033212330321
5130441321444231
64332341411401
7502614516133
oct112417467471
927733886841
1010003312441
114273677771
121b32109b61
13c355aa0b5
146ac786053
153d8314661
hex2543e6f39

10003312441 has 8 divisors (see below), whose sum is σ = 10117637640. Its totient is φ = 9889030272.

The previous prime is 10003312427. The next prime is 10003312453. The reversal of 10003312441 is 14421330001.

It can be written as a sum of positive squares in 4 ways, for example, as 82355625 + 9920956816 = 9075^2 + 99604^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10003312441 - 25 = 10003312409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10003312141) 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 7 ways as a sum of consecutive naturals, for example, 810271 + ... + 822523.

It is an arithmetic number, because the mean of its divisors is an integer number (1264704705).

Almost surely, 210003312441 is an apocalyptic number.

It is an amenable number.

10003312441 is a deficient number, since it is larger than the sum of its proper divisors (114325199).

10003312441 is an equidigital number, since it uses as much as digits as its factorization.

10003312441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21515.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10003312441 its reverse (14421330001), we get a palindrome (24424642442).

The spelling of 10003312441 in words is "ten billion, three million, three hundred twelve thousand, four hundred forty-one".

Divisors: 1 89 9173 12253 816397 1090517 112396769 10003312441