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10044442331 = 721118635329
BaseRepresentation
bin10010101101011001…
…00000011011011011
3221221000101112112122
421112230200123123
5131032334123311
64340411131455
7503624231300
oct112654403333
927830345478
1010044442331
11429490a210
121b43a43b8b
13c40c7b001
146b40110a7
153dbc3b0db
hex256b206db

10044442331 has 12 divisors (see below), whose sum is σ = 12746565720. Its totient is φ = 7826837760.

The previous prime is 10044442327. The next prime is 10044442361. The reversal of 10044442331 is 13324444001.

10044442331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10044442331 - 22 = 10044442327 is a prime.

It is a super-2 number, since 2×100444423312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10044442331.

It is not an unprimeable number, because it can be changed into a prime (10044442361) 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 11 ways as a sum of consecutive naturals, for example, 9317126 + ... + 9318203.

It is an arithmetic number, because the mean of its divisors is an integer number (1062213810).

Almost surely, 210044442331 is an apocalyptic number.

10044442331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10044442331 is a deficient number, since it is larger than the sum of its proper divisors (2702123389).

10044442331 is a wasteful number, since it uses less digits than its factorization.

10044442331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18635354 (or 18635347 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10044442331 its reverse (13324444001), we get a palindrome (23368886332).

The spelling of 10044442331 in words is "ten billion, forty-four million, four hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 7 11 49 77 539 18635329 130447303 204988619 913131121 1434920333 10044442331