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12441144133 = 1121091516247
BaseRepresentation
bin10111001011000110…
…01100101101000101
31012010001012121100001
423211203030231011
5200434413103013
65414304521301
7620205660145
oct134543145505
935101177301
1012441144133
115304779800
1224b2620231
131233680662
14860452925
154cc35eddd
hex2e58ccb45

12441144133 has 24 divisors (see below), whose sum is σ = 13894052480. Its totient is φ = 11130372000.

The previous prime is 12441144113. The next prime is 12441144137. The reversal of 12441144133 is 33144114421.

12441144133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12441144133 - 217 = 12441013061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441144137) 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 23 ways as a sum of consecutive naturals, for example, 1988416 + ... + 1994662.

Almost surely, 212441144133 is an apocalyptic number.

It is an amenable number.

12441144133 is a deficient number, since it is larger than the sum of its proper divisors (1452908347).

12441144133 is a wasteful number, since it uses less digits than its factorization.

12441144133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6518 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 12441144133 its reverse (33144114421), we get a palindrome (45585258554).

The spelling of 12441144133 in words is "twelve billion, four hundred forty-one million, one hundred forty-four thousand, one hundred thirty-three".

Divisors: 1 11 109 121 151 1199 1661 6247 13189 16459 18271 68717 181049 680923 755887 943297 1991539 7490153 10376267 82391683 102819373 114138937 1131013103 12441144133