Search a number
-
+
31112524251 = 3323324120521
BaseRepresentation
bin11100111110011100…
…110111000111011011
32222022021200222202000
4130332130313013123
51002204301234001
622143133212043
72150666043534
oct347634670733
988267628660
1031112524251
1112216232a66
126043631023
132c1aa0c583
1417120c768b
15c21635a86
hex73e7371db

31112524251 has 32 divisors (see below), whose sum is σ = 46484792640. Its totient is φ = 20565964800.

The previous prime is 31112524243. The next prime is 31112524283. The reversal of 31112524251 is 15242521113.

It is a happy number.

31112524251 is a `hidden beast` number, since 3 + 1 + 112 + 524 + 25 + 1 = 666.

It is not a de Polignac number, because 31112524251 - 23 = 31112524243 is a prime.

It is a super-2 number, since 2×311125242512 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31112524291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1505871 + ... + 1526391.

It is an arithmetic number, because the mean of its divisors is an integer number (1452649770).

Almost surely, 231112524251 is an apocalyptic number.

31112524251 is a deficient number, since it is larger than the sum of its proper divisors (15372268389).

31112524251 is a wasteful number, since it uses less digits than its factorization.

31112524251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21004 (or 20998 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The spelling of 31112524251 in words is "thirty-one billion, one hundred twelve million, five hundred twenty-four thousand, two hundred fifty-one".

Divisors: 1 3 9 27 233 241 699 723 2097 2169 6291 6507 20521 56153 61563 168459 184689 505377 554067 1516131 4781393 4945561 14344179 14836683 43032537 44510049 129097611 133530147 1152315713 3456947139 10370841417 31112524251