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11122122 = 2311433919
BaseRepresentation
bin101010011011…
…010111001010
3202221001200110
4222123113022
510321401442
61034215150
7163352004
oct52332712
922831613
1011122122
116307240
1238844b6
1323c554b
141697374
15e9a69c
hexa9b5ca

11122122 has 32 divisors (see below), whose sum is σ = 24837120. Its totient is φ = 3291120.

The previous prime is 11122099. The next prime is 11122129. The reversal of 11122122 is 22122111.

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 = 11122098 and 11122107.

It is not an unprimeable number, because it can be changed into a prime (11122129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879 + ... + 4797.

It is an arithmetic number, because the mean of its divisors is an integer number (776160).

Almost surely, 211122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418560).

11122122 is an abundant number, since it is smaller than the sum of its proper divisors (13714998).

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

11122122 is a wasteful number, since it uses less digits than its factorization.

11122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978.

The product of its digits is 16, while the sum is 12.

The square root of 11122122 is about 3334.9845576854. The cubic root of 11122122 is about 223.2180028772.

Adding to 11122122 its reverse (22122111), we get a palindrome (33244233).

It can be divided in two parts, 111 and 22122, that multiplied together give a palindrome (2455542).

The spelling of 11122122 in words is "eleven million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 3919 7838 11757 23514 43109 86218 129327 168517 258654 337034 505551 1011102 1853687 3707374 5561061 11122122