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112211022220 = 225112101459091
BaseRepresentation
bin110100010000001001…
…1000101000110001100
3101201122011211112122221
41220200103011012030
53314302010202340
6123314331345124
711051456644243
oct1504023050614
9351564745587
10112211022220
1143652218900
12198b72b21a4
13a7735ba48b
145606acd95a
152dbb29044a
hex1a204c518c

112211022220 has 72 divisors (see below), whose sum is σ = 261577767024. Its totient is φ = 40399920000.

The previous prime is 112211022181. The next prime is 112211022221. The reversal of 112211022220 is 22220112211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112211022194 and 112211022203.

It is not an unprimeable number, because it can be changed into a prime (112211022221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14875 + ... + 473965.

It is an arithmetic number, because the mean of its divisors is an integer number (3633024542).

Almost surely, 2112211022220 is an apocalyptic number.

112211022220 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 112211022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130788883512).

112211022220 is an abundant number, since it is smaller than the sum of its proper divisors (149366744804).

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

112211022220 is a wasteful number, since it uses less digits than its factorization.

112211022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459223 (or 459210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112211022220 its reverse (22220112211), we get a palindrome (134431134431).

The spelling of 112211022220 in words is "one hundred twelve billion, two hundred eleven million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 11110 12221 22220 24442 48884 61105 122210 244420 459091 918182 1836364 2295455 4590910 5050001 9181820 10100002 20200004 25250005 46368191 50500010 55550011 92736382 101000020 111100022 185472764 222200044 231840955 277750055 463681910 510050101 555500110 927363820 1020100202 1111000220 2040200404 2550250505 5100501010 5610551111 10201002020 11221102222 22442204444 28052755555 56105511110 112211022220