Search a number
-
+
12031013322 = 2331713105679
BaseRepresentation
bin10110011010001101…
…01011000111001010
31011001110110210122000
423031012223013022
5144114414411242
65305454211430
7604065632406
oct131506530712
934043423560
1012031013322
115114214419
1223b91b3b76
131199702ac3
14821bb2106
154a6349a4c
hex2cd1ab1ca

12031013322 has 32 divisors (see below), whose sum is σ = 28308268800. Its totient is φ = 3774435264.

The previous prime is 12031013279. The next prime is 12031013353. The reversal of 12031013322 is 22331013021.

12031013322 is a `hidden beast` number, since 1 + 20 + 310 + 1 + 332 + 2 = 666.

12031013322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12031013295 and 12031013304.

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 15 ways as a sum of consecutive naturals, for example, 6551922 + ... + 6553757.

It is an arithmetic number, because the mean of its divisors is an integer number (884633400).

Almost surely, 212031013322 is an apocalyptic number.

12031013322 is an abundant number, since it is smaller than the sum of its proper divisors (16277255478).

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

12031013322 is a wasteful number, since it uses less digits than its factorization.

12031013322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13105707 (or 13105701 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12031013322 its reverse (22331013021), we get a palindrome (34362026343).

The spelling of 12031013322 in words is "twelve billion, thirty-one million, thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 13105679 26211358 39317037 78634074 117951111 222796543 235902222 353853333 445593086 668389629 707706666 1336779258 2005168887 4010337774 6015506661 12031013322