Search a number
-
+
2121112 = 2373773
BaseRepresentation
bin1000000101110110011000
310222202121201
420011312120
51020333422
6113243544
724013000
oct10056630
93882551
102121112
111219694
128635b4
135935c6
143d3000
152bd727
hex205d98

2121112 has 32 divisors (see below), whose sum is σ = 4644000. Its totient is φ = 907872.

The previous prime is 2121043. The next prime is 2121121. The reversal of 2121112 is 2111212.

It is a super-2 number, since 2×21211122 = 8998232233088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2358 + ... + 3130.

It is an arithmetic number, because the mean of its divisors is an integer number (145125).

22121112 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 2121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322000).

2121112 is an abundant number, since it is smaller than the sum of its proper divisors (2522888).

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

2121112 is an equidigital number, since it uses as much as digits as its factorization.

2121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 782 counting only the distinct ones).

The product of its digits is 8, while the sum is 10.

The square root of 2121112 is about 1456.4037901626. The cubic root of 2121112 is about 128.4856227007.

Adding to 2121112 its reverse (2111212), we get a palindrome (4232324).

The spelling of 2121112 in words is "two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 773 1372 1546 2744 3092 5411 6184 10822 21644 37877 43288 75754 151508 265139 303016 530278 1060556 2121112