Search a number
-
+
31008260825 = 525389262949
BaseRepresentation
bin11100111000001111…
…001000001011011001
32222001000111212012122
4130320033020023121
51002001103321300
622124530351025
72145261603533
oct347017101331
988030455178
1031008260825
111217239a343
12601472b475
132c02235339
141702306853
15c173dcc85
hex7383c82d9

31008260825 has 24 divisors (see below), whose sum is σ = 39616047000. Its totient is φ = 24065000960.

The previous prime is 31008260809. The next prime is 31008260861. The reversal of 31008260825 is 52806280013.

It can be written as a sum of positive squares in 12 ways, for example, as 8242279369 + 22765981456 = 90787^2 + 150884^2 .

It is not a de Polignac number, because 31008260825 - 24 = 31008260809 is a prime.

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, 13550 + ... + 249399.

It is an arithmetic number, because the mean of its divisors is an integer number (1650668625).

Almost surely, 231008260825 is an apocalyptic number.

It is an amenable number.

31008260825 is a deficient number, since it is larger than the sum of its proper divisors (8607786175).

31008260825 is a wasteful number, since it uses less digits than its factorization.

31008260825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263101 (or 263096 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 31008260825 in words is "thirty-one billion, eight million, two hundred sixty thousand, eight hundred twenty-five".

Divisors: 1 5 25 53 89 265 445 1325 2225 4717 23585 117925 262949 1314745 6573725 13936297 23402461 69681485 117012305 348407425 585061525 1240330433 6201652165 31008260825