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111442122 = 233111631151
BaseRepresentation
bin1101010010001…
…11100011001010
321202200211212000
412221013203022
5212012121442
615020331430
72522146101
oct651074312
9252624760
10111442122
11579a7130
12313a3b76
131a11b8ac
1410b2d038
159bb4d4c
hex6a478ca

111442122 has 64 divisors (see below), whose sum is σ = 272056320. Its totient is φ = 33534000.

The previous prime is 111442109. The next prime is 111442147. The reversal of 111442122 is 221244111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111442095 and 111442104.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 96247 + ... + 97397.

It is an arithmetic number, because the mean of its divisors is an integer number (4250880).

Almost surely, 2111442122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111442122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136028160).

111442122 is an abundant number, since it is smaller than the sum of its proper divisors (160614198).

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

111442122 is a wasteful number, since it uses less digits than its factorization.

111442122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 111442122 is about 10556.6150824969. The cubic root of 111442122 is about 481.2267837904.

Adding to 111442122 its reverse (221244111), we get a palindrome (332686233).

The spelling of 111442122 in words is "one hundred eleven million, four hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 163 198 297 326 489 594 978 1151 1467 1793 2302 2934 3453 3586 4401 5379 6906 8802 10359 10758 12661 16137 20718 25322 31077 32274 37983 48411 62154 75966 96822 113949 187613 227898 341847 375226 562839 683694 1125678 1688517 2063743 3377034 4127486 5065551 6191229 10131102 12382458 18573687 37147374 55721061 111442122