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12442662213003 = 3211373396850181
BaseRepresentation
bin1011010100010000100001…
…1101100001010110001011
31122001111200112010102222100
42311010020131201112023
53112330033011304003
642244025145324443
72422644524520201
oct265041035412613
948044615112870
1012442662213003
113a679a3492280
12148b57a496723
136c34517c6739
14310329b47071
151689dedbeba3
hexb510876158b

12442662213003 has 24 divisors (see below), whose sum is σ = 20136527878896. Its totient is φ = 7337196388800.

The previous prime is 12442662212969. The next prime is 12442662213013. The reversal of 12442662213003 is 30031226624421.

12442662213003 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 26 + 622 + 1 + 3 + 0 + 0 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12442662213003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12442662213013) 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 23 ways as a sum of consecutive naturals, for example, 1698421428 + ... + 1698428753.

It is an arithmetic number, because the mean of its divisors is an integer number (839021994954).

Almost surely, 212442662213003 is an apocalyptic number.

12442662213003 is a deficient number, since it is larger than the sum of its proper divisors (7693865665893).

12442662213003 is a wasteful number, since it uses less digits than its factorization.

12442662213003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396850235 (or 3396850232 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 12442662213003 its reverse (30031226624421), we get a palindrome (42473888837424).

The spelling of 12442662213003 in words is "twelve trillion, four hundred forty-two billion, six hundred sixty-two million, two hundred thirteen thousand, three".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 3396850181 10190550543 30571651629 37365351991 112096055973 125683456697 336288167919 377050370091 1131151110273 1382518023667 4147554071001 12442662213003