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10024443125 = 5417943477
BaseRepresentation
bin10010101011000000…
…01101110011110101
3221212121202110210022
421111200031303311
5131012224140000
64334414334525
7503262234464
oct112540156365
927777673708
1010024443125
11428459a544
121b391ba445
13c39a98068
146b14c69db
153da0da585
hex25580dcf5

10024443125 has 20 divisors (see below), whose sum is σ = 13263413724. Its totient is φ = 7547808000.

The previous prime is 10024443103. The next prime is 10024443127. The reversal of 10024443125 is 52134442001.

10024443125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 7566564196 + 2457878929 = 86986^2 + 49577^2 .

It is not a de Polignac number, because 10024443125 - 218 = 10024180981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10024443094 and 10024443103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024443127) 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 19 ways as a sum of consecutive naturals, for example, 461114 + ... + 482363.

Almost surely, 210024443125 is an apocalyptic number.

It is an amenable number.

10024443125 is a deficient number, since it is larger than the sum of its proper divisors (3238970599).

10024443125 is an frugal number, since it uses more digits than its factorization.

10024443125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943514 (or 943499 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10024443125 its reverse (52134442001), we get a palindrome (62158885126).

The spelling of 10024443125 in words is "ten billion, twenty-four million, four hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 625 2125 10625 943477 4717385 16039109 23586925 80195545 117934625 400977725 589673125 2004888625 10024443125