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10031440041 = 327236923009
BaseRepresentation
bin10010101011110101…
…11010000010101001
3221220002220221202100
421111322322002221
5131021022040131
64335224324013
7503405555610
oct112572720251
927802827670
1010031440041
114288539417
121b3b613609
13c3b377a4c
146b23c8877
153daa1d7e6
hex255eba0a9

10031440041 has 24 divisors (see below), whose sum is σ = 17279832960. Its totient is φ = 5483022336.

The previous prime is 10031439983. The next prime is 10031440043. The reversal of 10031440041 is 14004413001.

10031440041 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 10031440041 - 211 = 10031437993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031439996 and 10031440023.

It is not an unprimeable number, because it can be changed into a prime (10031440043) 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 23 ways as a sum of consecutive naturals, for example, 3460056 + ... + 3462953.

It is an arithmetic number, because the mean of its divisors is an integer number (719993040).

Almost surely, 210031440041 is an apocalyptic number.

It is an amenable number.

10031440041 is a deficient number, since it is larger than the sum of its proper divisors (7248392919).

10031440041 is a wasteful number, since it uses less digits than its factorization.

10031440041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923045 (or 6923042 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10031440041 its reverse (14004413001), we get a palindrome (24035853042).

The spelling of 10031440041 in words is "ten billion, thirty-one million, four hundred forty thousand, forty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 6923009 20769027 48461063 62307081 145383189 159229207 436149567 477687621 1114604449 1433062863 3343813347 10031440041