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31132332224 = 26769491813
BaseRepresentation
bin11100111111101000…
…011011000011000000
32222100122222100011122
4130333220123003000
51002224334112344
622145121531412
72151326312660
oct347750330300
988318870148
1031132332224
1112226431a94
12604a1a3b68
132c21b56476
1417149a21a0
15c23249aee
hex73fa1b0c0

31132332224 has 28 divisors (see below), whose sum is σ = 70603683024. Its totient is φ = 13342427904.

The previous prime is 31132332193. The next prime is 31132332229. The reversal of 31132332224 is 42223323113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 31132332193 and 31132332202.

It is not an unprimeable number, because it can be changed into a prime (31132332229) 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 3 ways as a sum of consecutive naturals, for example, 34745459 + ... + 34746354.

It is an arithmetic number, because the mean of its divisors is an integer number (2521560108).

Almost surely, 231132332224 is an apocalyptic number.

It is an amenable number.

31132332224 is an abundant number, since it is smaller than the sum of its proper divisors (39471350800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31132332224 is an equidigital number, since it uses as much as digits as its factorization.

31132332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69491832 (or 69491822 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

Adding to 31132332224 its reverse (42223323113), we get a palindrome (73355655337).

The spelling of 31132332224 in words is "thirty-one billion, one hundred thirty-two million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 69491813 138983626 277967252 486442691 555934504 972885382 1111869008 1945770764 2223738016 3891541528 4447476032 7783083056 15566166112 31132332224