Search a number
-
+
12022302132 = 2232333952837
BaseRepresentation
bin10110011001001010…
…11100010110110100
31011000212002020010100
423030211130112310
5144110202132012
65304543354100
7603631611351
oct131445342664
934025066110
1012022302132
11510a304595
1223b62b2930
131197972a59
14820985628
154a56c88dc
hex2cc95c5b4

12022302132 has 18 divisors (see below), whose sum is σ = 30389708258. Its totient is φ = 4007434032.

The previous prime is 12022302073. The next prime is 12022302133. The reversal of 12022302132 is 23120322021.

12022302132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8835248016 + 3187054116 = 93996^2 + 56454^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022302133) 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 5 ways as a sum of consecutive naturals, for example, 166976383 + ... + 166976454.

Almost surely, 212022302132 is an apocalyptic number.

12022302132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12022302132 is an abundant number, since it is smaller than the sum of its proper divisors (18367406126).

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

12022302132 is a wasteful number, since it uses less digits than its factorization.

12022302132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333952847 (or 333952842 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12022302132 its reverse (23120322021), we get a palindrome (35142624153).

The spelling of 12022302132 in words is "twelve billion, twenty-two million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 333952837 667905674 1001858511 1335811348 2003717022 3005575533 4007434044 6011151066 12022302132