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10024231013 = 23228366959
BaseRepresentation
bin10010101010111110…
…11010000001100101
3221212121100200211022
421111133122001211
5131012200343023
64334410020525
7503260362206
oct112537320145
927777320738
1010024231013
114284465145
121b39117745
13c39a22654
146b146d5ad
153da0977c8
hex2557da065

10024231013 has 12 divisors (see below), whose sum is σ = 10516201920. Its totient is φ = 9554370936.

The previous prime is 10024231003. The next prime is 10024231037. The reversal of 10024231013 is 31013242001.

10024231013 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 10024231013 - 218 = 10023968869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10024230982 and 10024231000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024231003) 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, 116228 + ... + 183186.

It is an arithmetic number, because the mean of its divisors is an integer number (876350160).

Almost surely, 210024231013 is an apocalyptic number.

It is an amenable number.

10024231013 is a deficient number, since it is larger than the sum of its proper divisors (491970907).

10024231013 is an equidigital number, since it uses as much as digits as its factorization.

10024231013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67288 (or 67265 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10024231013 its reverse (31013242001), we get a palindrome (41037473014).

The spelling of 10024231013 in words is "ten billion, twenty-four million, two hundred thirty-one thousand, thirteen".

Divisors: 1 23 283 529 6509 66959 149707 1540057 18949397 35421311 435836131 10024231013