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10244432331 = 327198558423
BaseRepresentation
bin10011000101001110…
…11010000111001011
3222102221201002020200
421202213122013023
5131440033313311
64412313423243
7511603144440
oct114247320713
928387632220
1010244432331
114387795701
121b9aa0ab23
13c735308a3
146d27cd9c7
153ee592556
hex2629da1cb

10244432331 has 24 divisors (see below), whose sum is σ = 17801521920. Its totient is φ = 5545857456.

The previous prime is 10244432327. The next prime is 10244432347. The reversal of 10244432331 is 13323444201.

10244432331 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 10244432331 - 22 = 10244432327 is a prime.

It is a super-2 number, since 2×102444323312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10244432295 and 10244432304.

It is not an unprimeable number, because it can be changed into a prime (10244432321) 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, 4278015 + ... + 4280408.

It is an arithmetic number, because the mean of its divisors is an integer number (741730080).

Almost surely, 210244432331 is an apocalyptic number.

10244432331 is a deficient number, since it is larger than the sum of its proper divisors (7557089589).

10244432331 is a wasteful number, since it uses less digits than its factorization.

10244432331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8558455 (or 8558452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10244432331 its reverse (13323444201), we get a palindrome (23567876532).

The spelling of 10244432331 in words is "ten billion, two hundred forty-four million, four hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 8558423 25675269 59908961 77025807 162610037 179726883 487830111 539180649 1138270259 1463490333 3414810777 10244432331