Search a number
-
+
12441333132 = 2233115197529
BaseRepresentation
bin10111001011000111…
…11010110110001100
31012010001120012121000
423211203322312030
5200434440130012
65414312540300
7620210405154
oct134543726614
935101505530
1012441333132
1153048987a8
1224b26b1690
1312337186a7
148604a1764
154cc39addc
hex2e58fad8c

12441333132 has 24 divisors (see below), whose sum is σ = 32255308400. Its totient is φ = 4147111008.

The previous prime is 12441333119. The next prime is 12441333221. The reversal of 12441333132 is 23133314421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12441333096 and 12441333105.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 57598657 + ... + 57598872.

Almost surely, 212441333132 is an apocalyptic number.

12441333132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12441333132 is an abundant number, since it is smaller than the sum of its proper divisors (19813975268).

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

12441333132 is a wasteful number, since it uses less digits than its factorization.

12441333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115197542 (or 115197534 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 12441333132 its reverse (23133314421), we get a palindrome (35574647553).

It can be divided in two parts, 12 and 441333132, that added together give a palindrome (441333144).

The spelling of 12441333132 in words is "twelve billion, four hundred forty-one million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 115197529 230395058 345592587 460790116 691185174 1036777761 1382370348 2073555522 3110333283 4147111044 6220666566 12441333132