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111244 = 22729137
BaseRepresentation
bin11011001010001100
312122121011
4123022030
512024434
62215004
7642220
oct331214
9178534
10111244
1176641
1254464
133b833
142c780
1522e64
hex1b28c

111244 has 24 divisors (see below), whose sum is σ = 231840. Its totient is φ = 45696.

The previous prime is 111229. The next prime is 111253. The reversal of 111244 is 442111.

111244 = T119 + T120 + ... + T132.

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

It is a plaindrome in base 10.

It is a nialpdrome in base 7 and base 11.

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, 744 + ... + 880.

It is an arithmetic number, because the mean of its divisors is an integer number (9660).

2111244 is an apocalyptic number.

111244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115920).

111244 is an abundant number, since it is smaller than the sum of its proper divisors (120596).

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

111244 is a wasteful number, since it uses less digits than its factorization.

111244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its digits is 32, while the sum is 13.

The square root of 111244 is about 333.5326071016. The cubic root of 111244 is about 48.0941439355.

Adding to 111244 its reverse (442111), we get a palindrome (553355).

It can be divided in two parts, 1112 and 44, that added together give a square (1156 = 342).

The spelling of 111244 in words is "one hundred eleven thousand, two hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 7 14 28 29 58 116 137 203 274 406 548 812 959 1918 3836 3973 7946 15892 27811 55622 111244