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110011220 = 225111014951
BaseRepresentation
bin1101000111010…
…10001101010100
321200000011000122
412203222031110
5211130324340
614525531112
72504036264
oct643521524
9250004018
10110011220
115710a070
1230a13a98
1319a3a4c7
14108797a4
1599d0db5
hex68ea354

110011220 has 48 divisors (see below), whose sum is σ = 254572416. Its totient is φ = 39600000.

The previous prime is 110011217. The next prime is 110011283. The reversal of 110011220 is 22110011.

It is a junction number, because it is equal to n+sod(n) for n = 110011198 and 110011207.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19745 + ... + 24695.

It is an arithmetic number, because the mean of its divisors is an integer number (5303592).

Almost surely, 2110011220 is an apocalyptic number.

110011220 is a gapful number since it is divisible by the number (10) 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 110011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127286208).

110011220 is an abundant number, since it is smaller than the sum of its proper divisors (144561196).

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

110011220 is a wasteful number, since it uses less digits than its factorization.

110011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 110011220 is about 10488.6233605750. The cubic root of 110011220 is about 479.1582759799.

Adding to 110011220 its reverse (22110011), we get a palindrome (132121231).

It can be divided in two parts, 11001 and 1220, that added together give a palindrome (12221).

The spelling of 110011220 in words is "one hundred ten million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 4951 5555 9902 11110 19804 22220 24755 49510 54461 99020 108922 217844 272305 500051 544610 1000102 1089220 2000204 2500255 5000510 5500561 10001020 11001122 22002244 27502805 55005610 110011220