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2001331134 = 2321111179049
BaseRepresentation
bin111011101001001…
…1110001110111110
312011110212011012100
41313102132032332
513044320044014
6530331245530
7100411014435
oct16722361676
95143764170
102001331134
11937776780
1247a2a98a6
1325b82220a
1414db2411c
15baa77009
hex7749e3be

2001331134 has 48 divisors (see below), whose sum is σ = 4735177200. Its totient is φ = 605854080.

The previous prime is 2001331133. The next prime is 2001331141. The reversal of 2001331134 is 4311331002.

2001331134 is a `hidden beast` number, since 200 + 1 + 331 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001331133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216642 + ... + 225690.

It is an arithmetic number, because the mean of its divisors is an integer number (98649525).

Almost surely, 22001331134 is an apocalyptic number.

2001331134 is an abundant number, since it is smaller than the sum of its proper divisors (2733846066).

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

2001331134 is a wasteful number, since it uses less digits than its factorization.

2001331134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10185 (or 10182 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2001331134 is about 44736.2396050450. The cubic root of 2001331134 is about 1260.2005085290.

Adding to 2001331134 its reverse (4311331002), we get a palindrome (6312662136).

The spelling of 2001331134 in words is "two billion, one million, three hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1117 2234 3351 6702 9049 10053 12287 18098 20106 24574 27147 36861 54294 73722 81441 99539 110583 162882 199078 221166 298617 597234 895851 1791702 10107733 20215466 30323199 60646398 90969597 111185063 181939194 222370126 333555189 667110378 1000665567 2001331134