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2113613971 = 72101427079
BaseRepresentation
bin111110111111011…
…0011000010010011
312110022010201021221
41331332303002103
513312041121341
6545422025511
7103243264600
oct17576630223
95408121257
102113613971
11995097507
124aba18297
13278b76671
141609d16a7
15c5855ed1
hex7dfb3093

2113613971 has 12 divisors (see below), whose sum is σ = 2483043120. Its totient is φ = 1793727600.

The previous prime is 2113613951. The next prime is 2113613987. The reversal of 2113613971 is 1793163112.

It is a happy number.

It is not a de Polignac number, because 2113613971 - 211 = 2113611923 is a prime.

It is a super-3 number, since 3×21136139713 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2113613951) 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 11 ways as a sum of consecutive naturals, for example, 208591 + ... + 218488.

It is an arithmetic number, because the mean of its divisors is an integer number (206920260).

Almost surely, 22113613971 is an apocalyptic number.

2113613971 is a deficient number, since it is larger than the sum of its proper divisors (369429149).

2113613971 is a wasteful number, since it uses less digits than its factorization.

2113613971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427194 (or 427187 counting only the distinct ones).

The product of its digits is 6804, while the sum is 34.

The square root of 2113613971 is about 45974.0575868609. The cubic root of 2113613971 is about 1283.3404712183.

The spelling of 2113613971 in words is "two billion, one hundred thirteen million, six hundred thirteen thousand, nine hundred seventy-one".

Divisors: 1 7 49 101 707 4949 427079 2989553 20926871 43134979 301944853 2113613971