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2112123111 = 37757132863
BaseRepresentation
bin111110111100100…
…0111000011100111
312110012022222012220
41331321013003213
513311200414421
6545330043423
7103224515220
oct17571070347
95405288186
102112123111
1199426939a
124ab419573
13278773bb7
14160724247
15c565e3c6
hex7de470e7

2112123111 has 16 divisors (see below), whose sum is σ = 3222749184. Its totient is φ = 1205324064.

The previous prime is 2112123103. The next prime is 2112123113. The reversal of 2112123111 is 1113212112.

It is not a de Polignac number, because 2112123111 - 23 = 2112123103 is a prime.

It is a super-2 number, since 2×21121231112 = 8922128072040636642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112123113) 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, 50535 + ... + 82328.

It is an arithmetic number, because the mean of its divisors is an integer number (201421824).

Almost surely, 22112123111 is an apocalyptic number.

2112123111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2112123111 is a deficient number, since it is larger than the sum of its proper divisors (1110626073).

2112123111 is a wasteful number, since it uses less digits than its factorization.

2112123111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133630.

The product of its digits is 24, while the sum is 15.

The square root of 2112123111 is about 45957.8405824295. The cubic root of 2112123111 is about 1283.0386609811.

Adding to 2112123111 its reverse (1113212112), we get a palindrome (3225335223).

The spelling of 2112123111 in words is "two billion, one hundred twelve million, one hundred twenty-three thousand, one hundred eleven".

Divisors: 1 3 7 21 757 2271 5299 15897 132863 398589 930041 2790123 100577291 301731873 704041037 2112123111