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10024340031 = 333461107273
BaseRepresentation
bin10010101010111111…
…10100101000111111
3221212121120020101000
421111133310220333
5131012212340111
64334412221343
7503261325066
oct112537645077
927777506330
1010024340031
11428452a042
121b3916a853
13c39a60164
146b149b1dd
153da0b9c56
hex2557f4a3f

10024340031 has 16 divisors (see below), whose sum is σ = 14855303520. Its totient is φ = 6680900160.

The previous prime is 10024340009. The next prime is 10024340063. The reversal of 10024340031 is 13004342001.

10024340031 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10024340031 - 25 = 10024339999 is a prime.

It is a super-2 number, since 2×100243400312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10024339986 and 10024340013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024348031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39811 + ... + 147083.

It is an arithmetic number, because the mean of its divisors is an integer number (928456470).

Almost surely, 210024340031 is an apocalyptic number.

10024340031 is a deficient number, since it is larger than the sum of its proper divisors (4830963489).

10024340031 is a wasteful number, since it uses less digits than its factorization.

10024340031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110743 (or 110737 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10024340031 its reverse (13004342001), we get a palindrome (23028682032).

The spelling of 10024340031 in words is "ten billion, twenty-four million, three hundred forty thousand, thirty-one".

Divisors: 1 3 9 27 3461 10383 31149 93447 107273 321819 965457 2896371 371271853 1113815559 3341446677 10024340031