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112113332220 = 22353773368897
BaseRepresentation
bin110100001101001111…
…0011010111111111100
3101201101101000101011210
41220122132122333330
53314102003112340
6123300521444420
711046162412611
oct1503236327774
9351341011153
10112113332220
114360206496a
121988a640710
13a7592a5246
1455d7b40508
152db28e5180
hex1a1a79affc

112113332220 has 96 divisors (see below), whose sum is σ = 322846106688. Its totient is φ = 29048758272.

The previous prime is 112113332213. The next prime is 112113332311. The reversal of 112113332220 is 22233311211.

It is a super-2 number, since 2×1121133322202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592812 + ... + 1661708.

It is an arithmetic number, because the mean of its divisors is an integer number (3362980278).

Almost surely, 2112113332220 is an apocalyptic number.

112113332220 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 112113332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161423053344).

112113332220 is an abundant number, since it is smaller than the sum of its proper divisors (210732774468).

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

112113332220 is a wasteful number, since it uses less digits than its factorization.

112113332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69679 (or 69677 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 112113332220 its reverse (22233311211), we get a palindrome (134346643431).

The spelling of 112113332220 in words is "one hundred twelve billion, one hundred thirteen million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 733 740 1110 1466 2199 2220 2932 3665 4398 7330 8796 10995 14660 21990 27121 43980 54242 68897 81363 108484 135605 137794 162726 206691 271210 275588 325452 344485 406815 413382 542420 688970 813630 826764 1033455 1377940 1627260 2066910 2549189 4133820 5098378 7647567 10196756 12745945 15295134 25491890 30590268 38237835 50501501 50983780 76475670 101003002 151504503 152951340 202006004 252507505 303009006 505015010 606018012 757522515 1010030020 1515045030 1868555537 3030090060 3737111074 5605666611 7474222148 9342777685 11211333222 18685555370 22422666444 28028333055 37371110740 56056666110 112113332220