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2112108705 = 32578218167
BaseRepresentation
bin111110111100100…
…0011100010100001
312110012022020110100
41331321003202201
513311144434310
6545325453013
7103224425220
oct17571034241
95405266410
102112108705
11994259593
124ab411169
1327876a485
1416071ccb7
15c5659ec0
hex7de438a1

2112108705 has 48 divisors (see below), whose sum is σ = 4189595904. Its totient is φ = 964241280.

The previous prime is 2112108643. The next prime is 2112108793. The reversal of 2112108705 is 5078012112.

2112108705 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2112108705 - 26 = 2112108641 is a prime.

It is a super-2 number, since 2×21121087052 = 8922006363473554050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254532 + ... + 262698.

It is an arithmetic number, because the mean of its divisors is an integer number (87283248).

Almost surely, 22112108705 is an apocalyptic number.

It is an amenable number.

2112108705 is a deficient number, since it is larger than the sum of its proper divisors (2077487199).

2112108705 is a wasteful number, since it uses less digits than its factorization.

2112108705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9006 (or 9003 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 2112108705 is about 45957.6838515607. The cubic root of 2112108705 is about 1283.0357439325.

The spelling of 2112108705 in words is "two billion, one hundred twelve million, one hundred eight thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 821 2463 4105 5747 7389 8167 12315 17241 24501 28735 36945 40835 51723 57169 73503 86205 122505 171507 258615 285845 367515 514521 857535 2572605 6705107 20115321 33525535 46935749 60345963 100576605 140807247 234678745 301729815 422421741 704036235 2112108705