Search a number
-
+
112012002020 = 22522982129789
BaseRepresentation
bin110100001010001101…
…1111000001011100100
3101201010022100021021102
41220110123320023210
53313400033031040
6123242501535232
711043522210362
oct1502433701344
9351108307242
10112012002020
114355a944aa6
1219860714518
13a7412b7149
1455c84c4632
152da8a7b515
hex1a146f82e4

112012002020 has 48 divisors (see below), whose sum is σ = 236548090800. Its totient is φ = 44553315840.

The previous prime is 112012002007. The next prime is 112012002029. The reversal of 112012002020 is 20200210211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5669487616 + 106342514404 = 75296^2 + 326102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112012001992 and 112012002010.

It is not an unprimeable number, because it can be changed into a prime (112012002029) 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, 3745286 + ... + 3775074.

It is an arithmetic number, because the mean of its divisors is an integer number (4928085225).

Almost surely, 2112012002020 is an apocalyptic number.

112012002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012002020 is an abundant number, since it is smaller than the sum of its proper divisors (124536088780).

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

112012002020 is a wasteful number, since it uses less digits than its factorization.

112012002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30848 (or 30846 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112012002020 its reverse (20200210211), we get a palindrome (132212212231).

The spelling of 112012002020 in words is "one hundred twelve billion, twelve million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 229 458 821 916 1145 1642 2290 3284 4105 4580 8210 16420 29789 59578 119156 148945 188009 297890 376018 595780 752036 940045 1880090 3760180 6821681 13643362 24456769 27286724 34108405 48913538 68216810 97827076 122283845 136433620 244567690 489135380 5600600101 11201200202 22402400404 28003000505 56006001010 112012002020