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2113642071 = 322111113029
BaseRepresentation
bin111110111111011…
…1001111001010111
312110022012010211200
41331332321321113
513312043021241
6545422403543
7103243442532
oct17576717127
95408163750
102113642071
11995106632
124aba305b3
13278b863a8
141609dba19
15c585e4b6
hex7dfb9e57

2113642071 has 12 divisors (see below), whose sum is σ = 3067510680. Its totient is φ = 1402415280.

The previous prime is 2113641997. The next prime is 2113642087. The reversal of 2113642071 is 1702463112.

2113642071 is a `hidden beast` number, since 2 + 1 + 13 + 642 + 0 + 7 + 1 = 666.

It is not a de Polignac number, because 2113642071 - 218 = 2113379927 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113642171) 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 11 ways as a sum of consecutive naturals, for example, 554616 + ... + 558413.

It is an arithmetic number, because the mean of its divisors is an integer number (255625890).

Almost surely, 22113642071 is an apocalyptic number.

2113642071 is a deficient number, since it is larger than the sum of its proper divisors (953868609).

2113642071 is a wasteful number, since it uses less digits than its factorization.

2113642071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113246 (or 1113243 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2113642071 is about 45974.3631929796. The cubic root of 2113642071 is about 1283.3461584296.

The spelling of 2113642071 in words is "two billion, one hundred thirteen million, six hundred forty-two thousand, seventy-one".

Divisors: 1 3 9 211 633 1899 1113029 3339087 10017261 234849119 704547357 2113642071