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12011201010191 = 293227811283159
BaseRepresentation
bin1010111011001001001101…
…0111101001101000001111
31120112021000020202101011202
42232302103113221220033
53033242414424311231
641313511454340115
72346531521020625
oct256622327515017
946467006671152
1012011201010191
113910a15925619
12141ba26aba63b
13691861166276
142d74b9455515
1515c68b4685cb
hexaec935e9a0f

12011201010191 has 8 divisors (see below), whose sum is σ = 12425428533600. Its totient is φ = 11596976698720.

The previous prime is 12011201010167. The next prime is 12011201010239. The reversal of 12011201010191 is 19101010211021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12011201010191 - 242 = 7613154499087 is a prime.

It is a super-3 number, since 3×120112010101913 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011201010121) 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, 8719070 + ... + 10002228.

It is an arithmetic number, because the mean of its divisors is an integer number (1553178566700).

Almost surely, 212011201010191 is an apocalyptic number.

12011201010191 is a deficient number, since it is larger than the sum of its proper divisors (414227523409).

12011201010191 is a wasteful number, since it uses less digits than its factorization.

12011201010191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605969.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 12011201010191 in words is "twelve trillion, eleven billion, two hundred one million, ten thousand, one hundred ninety-one".

Divisors: 1 29 322781 1283159 9360649 37211611 414179345179 12011201010191