Search a number
-
+
1117003543191 = 323133122375407
BaseRepresentation
bin10000010000010010100…
…110010111001010010111
310221210011220020020222200
4100100102212113022113
5121300110401340231
62213051102255543
7143462250313524
oct20202246271227
93853156206880
101117003543191
113a079a41a728
121605962875b3
138144373c333
143c0c582a14b
151e0c8627be6
hex10412997297

1117003543191 has 48 divisors (see below), whose sum is σ = 1671583899648. Its totient is φ = 718016270400.

The previous prime is 1117003543169. The next prime is 1117003543199. The reversal of 1117003543191 is 1913453007111.

1117003543191 is a `hidden beast` number, since 1 + 117 + 0 + 0 + 354 + 3 + 191 = 666.

It is not a de Polignac number, because 1117003543191 - 231 = 1114856059543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117003543199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206582010 + ... + 206587416.

It is an arithmetic number, because the mean of its divisors is an integer number (34824664576).

Almost surely, 21117003543191 is an apocalyptic number.

1117003543191 is a deficient number, since it is larger than the sum of its proper divisors (554580356457).

1117003543191 is a wasteful number, since it uses less digits than its factorization.

1117003543191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 1117003543191 in words is "one trillion, one hundred seventeen billion, three million, five hundred forty-three thousand, one hundred ninety-one".

Divisors: 1 3 9 31 93 279 331 993 2237 2979 5407 6711 10261 16221 20133 30783 48663 69347 92349 167617 208041 502851 624123 740447 1508553 1789717 2221341 5369151 6664023 12095459 16107453 22953857 36286377 55481227 68861571 108859131 166443681 206584713 374959229 499331043 1124877687 3374633061 4003596929 12010790787 36032372361 124111504799 372334514397 1117003543191