Search a number
-
+
10023021325 = 522961226637
BaseRepresentation
bin10010101010110101…
…10010101100001101
3221212112002020110001
421111122302230031
5131011343140300
64334324044301
7503244163342
oct112532625415
927775066401
1010023021325
1142838092a9
121b38833691
13c396bab65
146b12367c9
153d9e0916a
hex2556b2b0d

10023021325 has 24 divisors (see below), whose sum is σ = 13067947080. Its totient is φ = 7614969600.

The previous prime is 10023021301. The next prime is 10023021343. The reversal of 10023021325 is 52312032001.

10023021325 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6406081444 + 3616939881 = 80038^2 + 60141^2 .

It is not a de Polignac number, because 10023021325 - 25 = 10023021293 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 69094 + ... + 157543.

It is an arithmetic number, because the mean of its divisors is an integer number (544497795).

Almost surely, 210023021325 is an apocalyptic number.

It is an amenable number.

10023021325 is a deficient number, since it is larger than the sum of its proper divisors (3044925755).

10023021325 is a wasteful number, since it uses less digits than its factorization.

10023021325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226737 (or 226732 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 10023021325 its reverse (52312032001), we get a palindrome (62335053326).

The spelling of 10023021325 in words is "ten billion, twenty-three million, twenty-one thousand, three hundred twenty-five".

Divisors: 1 5 25 29 61 145 305 725 1525 1769 8845 44225 226637 1133185 5665925 6572473 13824857 32862365 69124285 164311825 345621425 400920853 2004604265 10023021325