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12113332044401 = 723371151637327
BaseRepresentation
bin1011000001000101101011…
…0110101000001001110001
31120220000121221022110210102
42300101122312220021301
53041431101000410101
641432442105042145
72360105442340100
oct260213266501161
946800557273712
1012113332044401
113950265166215
12143778a486355
1369b38930b4a3
142dc407520037
151601677ea86b
hexb045ada8271

12113332044401 has 24 divisors (see below), whose sum is σ = 14145132957696. Its totient is φ = 10343036188800.

The previous prime is 12113332044377. The next prime is 12113332044491. The reversal of 12113332044401 is 10444023331121.

It is not a de Polignac number, because 12113332044401 - 218 = 12113331782257 is a prime.

It is a super-3 number, since 3×121133320444013 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12113332044491) 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, 18687800 + ... + 19325126.

It is an arithmetic number, because the mean of its divisors is an integer number (589380539904).

Almost surely, 212113332044401 is an apocalyptic number.

It is an amenable number.

12113332044401 is a deficient number, since it is larger than the sum of its proper divisors (2031800913295).

12113332044401 is a wasteful number, since it uses less digits than its factorization.

12113332044401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638829 (or 638822 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 12113332044401 its reverse (10444023331121), we get a palindrome (22557355375522).

The spelling of 12113332044401 in words is "twelve trillion, one hundred thirteen billion, three hundred thirty-two million, forty-four thousand, four hundred one".

Divisors: 1 7 49 337 1151 2359 8057 16513 56399 387887 637327 2715209 4461289 19006463 31229023 214779199 733563377 1503454393 5134943639 10524180751 35944605473 247210858049 1730476006343 12113332044401