Search a number
-
+
12240022041 = 3213104615573
BaseRepresentation
bin10110110011000111…
…11110101000011001
31011121000202112200200
423121203332220121
5200031421201131
65342322052413
7612214320312
oct133143765031
934530675620
1012240022041
11521119a7a5
1224571aa109
131200ac26c0
1484185b609
154b98832e6
hex2d98fea19

12240022041 has 12 divisors (see below), whose sum is σ = 19040034468. Its totient is φ = 7532321184.

The previous prime is 12240022031. The next prime is 12240022057. The reversal of 12240022041 is 14022004221.

12240022041 is a `hidden beast` number, since 1 + 2 + 2 + 400 + 220 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7936137225 + 4303884816 = 89085^2 + 65604^2 .

It is not a de Polignac number, because 12240022041 - 29 = 12240021529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12240022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52307670 + ... + 52307903.

It is an arithmetic number, because the mean of its divisors is an integer number (1586669539).

Almost surely, 212240022041 is an apocalyptic number.

It is an amenable number.

12240022041 is a deficient number, since it is larger than the sum of its proper divisors (6800012427).

12240022041 is a wasteful number, since it uses less digits than its factorization.

12240022041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104615592 (or 104615589 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12240022041 its reverse (14022004221), we get a palindrome (26262026262).

It can be divided in two parts, 122400 and 22041, that added together give a palindrome (144441).

The spelling of 12240022041 in words is "twelve billion, two hundred forty million, twenty-two thousand, forty-one".

Divisors: 1 3 9 13 39 117 104615573 313846719 941540157 1360002449 4080007347 12240022041