Search a number
-
+
112221033300000 = 253255373370001
BaseRepresentation
bin11001100001000001111110…
…110100111000000000100000
3112201100020002202112122221200
4121201001332310320000200
5104202112134011100000
61034401344143321200
732431462551211152
oct3141017664700040
9481306082478850
10112221033300000
1132836744779839
1210705230bb0200
134a80523628831
141d9d7540d2ad2
15ce91d748d500
hex66107ed38020

112221033300000 has 432 divisors, whose sum is σ = 409665975965064. Its totient is φ = 29116800000000.

The previous prime is 112221033299989. The next prime is 112221033300017. The reversal of 112221033300000 is 3330122211.

112221033300000 is a `hidden beast` number, since 1 + 122 + 210 + 3 + 330 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 15000407857296 + 97220625442704 = 3873036^2 + 9860052^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31615000 + ... + 34985000.

Almost surely, 2112221033300000 is an apocalyptic number.

112221033300000 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 112221033300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204832987982532).

112221033300000 is an abundant number, since it is smaller than the sum of its proper divisors (297444942665064).

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

112221033300000 is an equidigital number, since it uses as much as digits as its factorization.

112221033300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370079 (or 3370048 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112221033300000 its reverse (3330122211), we get a palindrome (112224363422211).

The spelling of 112221033300000 in words is "one hundred twelve trillion, two hundred twenty-one billion, thirty-three million, three hundred thousand".