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201113443134 = 2355919735603
BaseRepresentation
bin1011101101001101001…
…0111001101100111110
3201020002221102110100000
42323103102321230332
511243340020140014
6232220143015130
720346531026622
oct2732322715476
9636087373300
10201113443134
117832332853a
1232b8859a4a6
1315c70bc8976
149a3bd1d182
1553710b3509
hex2ed34b9b3e

201113443134 has 96 divisors (see below), whose sum is σ = 461889267840. Its totient is φ = 65565212832.

The previous prime is 201113443133. The next prime is 201113443177. The reversal of 201113443134 is 431344311102.

201113443134 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 1 + 344 + 313 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201113443098 and 201113443107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201113443133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5630977 + ... + 5666579.

It is an arithmetic number, because the mean of its divisors is an integer number (4811346540).

Almost surely, 2201113443134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201113443134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230944633920).

201113443134 is an abundant number, since it is smaller than the sum of its proper divisors (260775824706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201113443134 is a wasteful number, since it uses less digits than its factorization.

201113443134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35876 (or 35864 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 201113443134 its reverse (431344311102), we get a palindrome (632457754236).

The spelling of 201113443134 in words is "two hundred one billion, one hundred thirteen million, four hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 197 243 354 394 486 531 591 1062 1182 1593 1773 3186 3546 4779 5319 9558 10638 11623 14337 15957 23246 28674 31914 34869 35603 47871 69738 71206 95742 104607 106809 209214 213618 313821 320427 627642 640854 941463 961281 1882926 1922562 2100577 2824389 2883843 4201154 5648778 5767686 6301731 7013791 8651529 12603462 14027582 17303058 18905193 21041373 37810386 42082746 56715579 63124119 113431158 126248238 170146737 189372357 340293474 378744714 413813669 510440211 568117071 827627338 1020880422 1136234142 1241441007 1704351213 2482882014 3408702426 3724323021 7448646042 11172969063 22345938126 33518907189 67037814378 100556721567 201113443134