Search a number
-
+
12221432001 = 323736700997
BaseRepresentation
bin10110110000111010…
…00100000011000001
31011112201210001221200
423120131010003001
5200012141311001
65340415411413
7611600313042
oct133035040301
934481701850
1012221432001
115201752829
122450b23b69
1311c9cb3c8c
1483d1bc8c9
154b7e10086
hex2d87440c1

12221432001 has 12 divisors (see below), whose sum is σ = 18130293012. Its totient is φ = 7927415136.

The previous prime is 12221431993. The next prime is 12221432051. The reversal of 12221432001 is 10023412221.

It is a happy number.

12221432001 is a `hidden beast` number, since 12 + 221 + 432 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9618901776 + 2602530225 = 98076^2 + 51015^2 .

It is not a de Polignac number, because 12221432001 - 23 = 12221431993 is a prime.

It is a super-4 number, since 4×122214320014 (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12221432051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18350166 + ... + 18350831.

It is an arithmetic number, because the mean of its divisors is an integer number (1510857751).

Almost surely, 212221432001 is an apocalyptic number.

It is an amenable number.

12221432001 is a deficient number, since it is larger than the sum of its proper divisors (5908861011).

12221432001 is a wasteful number, since it uses less digits than its factorization.

12221432001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36701040 (or 36701037 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12221432001 its reverse (10023412221), we get a palindrome (22244844222).

The spelling of 12221432001 in words is "twelve billion, two hundred twenty-one million, four hundred thirty-two thousand, one".

Divisors: 1 3 9 37 111 333 36700997 110102991 330308973 1357936889 4073810667 12221432001