Search a number
-
+
12202030032 = 243318200289
BaseRepresentation
bin10110101110100110…
…00011001111010000
31011111101021100110020
423113103003033100
5144442204430112
65334443503440
7611243354403
oct132723031720
934441240406
1012202030032
1151a1800845
122446527b80
1311c5c7cb1a
1483a7abd3a
154b637b48c
hex2d74c33d0

12202030032 has 40 divisors (see below), whose sum is σ = 32538750720. Its totient is φ = 3936138240.

The previous prime is 12202029971. The next prime is 12202030039. The reversal of 12202030032 is 23003020221.

12202030032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12202029993 and 12202030020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202030039) 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 7 ways as a sum of consecutive naturals, for example, 4098657 + ... + 4101632.

It is an arithmetic number, because the mean of its divisors is an integer number (813468768).

Almost surely, 212202030032 is an apocalyptic number.

12202030032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12202030032 is an abundant number, since it is smaller than the sum of its proper divisors (20336720688).

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

12202030032 is a wasteful number, since it uses less digits than its factorization.

12202030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8200331 (or 8200325 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12202030032 its reverse (23003020221), we get a palindrome (35205050253).

The spelling of 12202030032 in words is "twelve billion, two hundred two million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 8200289 16400578 24600867 32801156 49201734 65602312 98403468 131204624 196806936 254208959 393613872 508417918 762626877 1016835836 1525253754 2033671672 3050507508 4067343344 6101015016 12202030032