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112133221020 = 22335316365651
BaseRepresentation
bin110100001101110101…
…0010010101010011100
3101201102202102211111000
41220123222102222130
53314122101033040
6123302512030300
711046523436502
oct1503352225234
9351382384430
10112133221020
1143612309697
1219895232390
13a760449b72
1455da63a672
152db4523130
hex1a1ba92a9c

112133221020 has 96 divisors (see below), whose sum is σ = 348974519040. Its totient is φ = 29892283200.

The previous prime is 112133221009. The next prime is 112133221021. The reversal of 112133221020 is 20122331211.

112133221020 is a `hidden beast` number, since 1 + 121 + 332 + 210 + 2 + 0 = 666.

112133221020 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112133220984 and 112133221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112133221021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675195 + ... + 1740845.

It is an arithmetic number, because the mean of its divisors is an integer number (3635151240).

Almost surely, 2112133221020 is an apocalyptic number.

112133221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112133221020 is an abundant number, since it is smaller than the sum of its proper divisors (236841298020).

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

112133221020 is a wasteful number, since it uses less digits than its factorization.

112133221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68832 (or 68824 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112133221020 its reverse (20122331211), we get a palindrome (132255552231).

The spelling of 112133221020 in words is "one hundred twelve billion, one hundred thirty-three million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3163 6326 9489 12652 15815 18978 28467 31630 37956 47445 56934 63260 65651 85401 94890 113868 131302 142335 170802 189780 196953 262604 284670 328255 341604 393906 427005 569340 590859 656510 787812 854010 984765 1181718 1313020 1708020 1772577 1969530 2363436 2954295 3545154 3939060 5908590 7090308 8862885 11817180 17725770 35451540 207654113 415308226 622962339 830616452 1038270565 1245924678 1868887017 2076541130 2491849356 3114811695 3737774034 4153082260 5606661051 6229623390 7475548068 9344435085 11213322102 12459246780 18688870170 22426644204 28033305255 37377740340 56066610510 112133221020