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2101112 = 231389227
BaseRepresentation
bin1000000000111101111000
310221202011222
420000331320
51014213422
6113011212
723600456
oct10007570
93852158
102101112
111205662
12853b08
13587480
143c99d6
152b7842
hex200f78

2101112 has 32 divisors (see below), whose sum is σ = 4309200. Its totient is φ = 954624.

The previous prime is 2101111. The next prime is 2101123. The reversal of 2101112 is 2111012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2101112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9143 + ... + 9369.

22101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154600).

2101112 is an abundant number, since it is smaller than the sum of its proper divisors (2208088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101112 is a wasteful number, since it uses less digits than its factorization.

2101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2101112 is about 1449.5213002919. The cubic root of 2101112 is about 128.0805157489.

Adding to 2101112 its reverse (2111012), we get a palindrome (4212124).

The spelling of 2101112 in words is "two million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 89 104 178 227 356 454 712 908 1157 1816 2314 2951 4628 5902 9256 11804 20203 23608 40406 80812 161624 262639 525278 1050556 2101112