Search a number
-
+
2113122 = 2311101317
BaseRepresentation
bin1000000011111001100010
310222100122210
420003321202
51020104442
6113142550
723650464
oct10037142
93870583
102113122
111213690
1285aa56
1358ca8b
143d0134
152bb19c
hex203e62

2113122 has 32 divisors (see below), whose sum is σ = 4670784. Its totient is φ = 632000.

The previous prime is 2113109. The next prime is 2113129. The reversal of 2113122 is 2213112.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2113098 and 2113107.

It is not an unprimeable number, because it can be changed into a prime (2113129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6508 + ... + 6824.

It is an arithmetic number, because the mean of its divisors is an integer number (145962).

22113122 is an apocalyptic number.

2113122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335392).

2113122 is an abundant number, since it is smaller than the sum of its proper divisors (2557662).

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

2113122 is a wasteful number, since it uses less digits than its factorization.

2113122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434.

The product of its digits is 24, while the sum is 12.

The square root of 2113122 is about 1453.6581441316. The cubic root of 2113122 is about 128.3240892125.

Adding to 2113122 its reverse (2213112), we get a palindrome (4326234).

It can be divided in two parts, 211 and 3122, that added together give a palindrome (3333).

The spelling of 2113122 in words is "two million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 317 606 634 951 1111 1902 2222 3333 3487 6666 6974 10461 20922 32017 64034 96051 192102 352187 704374 1056561 2113122