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12245122004103 = 331726677825717
BaseRepresentation
bin1011001000110000101000…
…1001011011010010000111
31121100121210121101002112000
42302030022021123102013
53101111002213112403
642013155325200343
72402452352453622
oct262141211332207
947317717332460
1012245122004103
1139a114416158a
12145922a7000b3
136aa92cc99071
1430494a60adb9
151637cc8827a3
hexb230a25b487

12245122004103 has 16 divisors (see below), whose sum is σ = 19208034516960. Its totient is φ = 7683213806208.

The previous prime is 12245122004081. The next prime is 12245122004111. The reversal of 12245122004103 is 30140022154221.

12245122004103 is a `hidden beast` number, since 1 + 2 + 2 + 45 + 1 + 2 + 200 + 410 + 3 = 666.

It is not a de Polignac number, because 12245122004103 - 226 = 12245054895239 is a prime.

It is a super-2 number, since 2×122451220041032 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12245122004153) 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 15 ways as a sum of consecutive naturals, for example, 13338912400 + ... + 13338913317.

It is an arithmetic number, because the mean of its divisors is an integer number (1200502157310).

Almost surely, 212245122004103 is an apocalyptic number.

12245122004103 is a deficient number, since it is larger than the sum of its proper divisors (6962912512857).

12245122004103 is a wasteful number, since it uses less digits than its factorization.

12245122004103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26677825743 (or 26677825737 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12245122004103 its reverse (30140022154221), we get a palindrome (42385144158324).

The spelling of 12245122004103 in words is "twelve trillion, two hundred forty-five billion, one hundred twenty-two million, four thousand, one hundred three".

Divisors: 1 3 9 17 27 51 153 459 26677825717 80033477151 240100431453 453523037189 720301294359 1360569111567 4081707334701 12245122004103