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2113812961 = 13212507769
BaseRepresentation
bin111110111111110…
…0011100111100001
312110022111211020221
41331333203213201
513312114003321
6545430203041
7103245054001
oct17577434741
95408454227
102113812961
11995212a67
124abab3481
13278c16100
14160a44001
15c5894e41
hex7dfe39e1

2113812961 has 6 divisors (see below), whose sum is σ = 2288921910. Its totient is φ = 1951211808.

The previous prime is 2113812919. The next prime is 2113812971. The reversal of 2113812961 is 1692183112.

It can be written as a sum of positive squares in 3 ways, for example, as 85211361 + 2028601600 = 9231^2 + 45040^2 .

It is not a de Polignac number, because 2113812961 - 211 = 2113810913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2113812971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6253716 + ... + 6254053.

It is an arithmetic number, because the mean of its divisors is an integer number (381486985).

Almost surely, 22113812961 is an apocalyptic number.

It is an amenable number.

2113812961 is a deficient number, since it is larger than the sum of its proper divisors (175108949).

2113812961 is a wasteful number, since it uses less digits than its factorization.

2113812961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12507795 (or 12507782 counting only the distinct ones).

The product of its digits is 5184, while the sum is 34.

The square root of 2113812961 is about 45976.2216912177. The cubic root of 2113812961 is about 1283.3807440891.

The spelling of 2113812961 in words is "two billion, one hundred thirteen million, eight hundred twelve thousand, nine hundred sixty-one".

Divisors: 1 13 169 12507769 162600997 2113812961