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211232100130985 = 51731106412207129
BaseRepresentation
bin110000000001110101001110…
…010010110010000010101001
31000200220120222020122000212102
4300001311032102302002221
5210141311320113142420
62025130404232223145
762331005233204643
oct6001651622620251
91020816866560772
10211232100130985
116133a037794a2a
121b836242b3aab5
1390b31421cc83b
143a2398c5a7893
151964971d87a75
hexc01d4e4b20a9

211232100130985 has 16 divisors (see below), whose sum is σ = 254946133668240. Its totient is φ = 168007289640960.

The previous prime is 211232100130981. The next prime is 211232100130991. The reversal of 211232100130985 is 589031001232112.

It can be written as a sum of positive squares in 8 ways, for example, as 36496061192809 + 174736038938176 = 6041197^2 + 13218776^2 .

It is not a de Polignac number, because 211232100130985 - 22 = 211232100130981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211232100130981) 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, 94600901 + ... + 96808029.

It is an arithmetic number, because the mean of its divisors is an integer number (15934133354265).

Almost surely, 2211232100130985 is an apocalyptic number.

It is an amenable number.

211232100130985 is a deficient number, since it is larger than the sum of its proper divisors (43714033537255).

211232100130985 is a wasteful number, since it uses less digits than its factorization.

211232100130985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317948.

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 211232100130985 in words is "two hundred eleven trillion, two hundred thirty-two billion, one hundred million, one hundred thirty thousand, nine hundred eighty-five".

Divisors: 1 5 173 865 110641 553205 2207129 11035645 19140893 95704465 381833317 1909166585 244198959689 1220994798445 42246420026197 211232100130985