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2000131133 = 711131998133
BaseRepresentation
bin111011100110111…
…1001010000111101
312011101121012002212
41313031321100331
513044013144013
6530245430205
7100364556050
oct16715712075
95141535085
102000131133
11937027140
12479a0b365
1325b4c1c60
1414d8d0a97
15ba8db6a8
hex7737943d

2000131133 has 16 divisors (see below), whose sum is σ = 2685492096. Its totient is φ = 1438655040.

The previous prime is 2000131127. The next prime is 2000131153. The reversal of 2000131133 is 3311310002.

It is a cyclic number.

It is not a de Polignac number, because 2000131133 - 26 = 2000131069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000131123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 998066 + ... + 1000067.

It is an arithmetic number, because the mean of its divisors is an integer number (167843256).

Almost surely, 22000131133 is an apocalyptic number.

It is an amenable number.

2000131133 is a deficient number, since it is larger than the sum of its proper divisors (685360963).

2000131133 is a wasteful number, since it uses less digits than its factorization.

2000131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998164.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 2000131133 is about 44722.8256374751. The cubic root of 2000131133 is about 1259.9485854976.

Adding to 2000131133 its reverse (3311310002), we get a palindrome (5311441135).

The spelling of 2000131133 in words is "two billion, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 7 11 13 77 91 143 1001 1998133 13986931 21979463 25975729 153856241 181830103 285733019 2000131133