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12011201331093 = 33444859308559
BaseRepresentation
bin1010111011001001001101…
…1000110111111110010101
31120112021000021100200101000
42232302103120313332111
53033242420020043333
641313511505253513
72346531523525326
oct256622330677625
946467007320330
1012011201331093
113910a16024728
12141ba27034299
13691861249353
142d74b94da44d
1515c68b4cd713
hexaec93637f95

12011201331093 has 8 divisors (see below), whose sum is σ = 17794372342400. Its totient is φ = 8007467554044.

The previous prime is 12011201331053. The next prime is 12011201331121. The reversal of 12011201331093 is 39013310211021.

12011201331093 is a `hidden beast` number, since 1 + 201 + 120 + 1 + 331 + 0 + 9 + 3 = 666.

It is not a de Polignac number, because 12011201331093 - 226 = 12011134222229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 444859308559 = 12011201331093 / (1 + 2 + 0 + 1 + 1 + 2 + 0 + 1 + 3 + 3 + 1 + 0 + 9 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011201331053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222429654253 + ... + 222429654306.

It is an arithmetic number, because the mean of its divisors is an integer number (2224296542800).

Almost surely, 212011201331093 is an apocalyptic number.

It is an amenable number.

12011201331093 is a deficient number, since it is larger than the sum of its proper divisors (5783171011307).

12011201331093 is an equidigital number, since it uses as much as digits as its factorization.

12011201331093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444859308568 (or 444859308562 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 12011201331093 in words is "twelve trillion, eleven billion, two hundred one million, three hundred thirty-one thousand, ninety-three".

Divisors: 1 3 9 27 444859308559 1334577925677 4003733777031 12011201331093