Search a number
-
+
110111331220 = 22511717049381
BaseRepresentation
bin110011010001100100…
…1011001001110010100
3101112012211220012002121
41212203021121032110
53301002000044340
6122330123545324
710645442605162
oct1464311311624
9345184805077
10110111331220
1142774a80990
121941008b244
13a4ca5aa177
145487cc4232
152ce6c8994a
hex19a3259394

110111331220 has 48 divisors (see below), whose sum is σ = 255807974016. Its totient is φ = 39476528000.

The previous prime is 110111331217. The next prime is 110111331223. The reversal of 110111331220 is 22133111011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110111331217) and next prime (110111331223).

It is a junction number, because it is equal to n+sod(n) for n = 110111331194 and 110111331203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111331223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3509071 + ... + 3540310.

It is an arithmetic number, because the mean of its divisors is an integer number (5329332792).

Almost surely, 2110111331220 is an apocalyptic number.

110111331220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110111331220 is an abundant number, since it is smaller than the sum of its proper divisors (145696642796).

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

110111331220 is a wasteful number, since it uses less digits than its factorization.

110111331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7049472 (or 7049470 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 110111331220 its reverse (22133111011), we get a palindrome (132244442231).

The spelling of 110111331220 in words is "one hundred ten billion, one hundred eleven million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620 7049381 14098762 28197524 35246905 70493810 77543191 140987620 155086382 310172764 387715955 500506051 775431910 1001012102 1550863820 2002024204 2502530255 5005060510 5505566561 10010121020 11011133122 22022266244 27527832805 55055665610 110111331220