Search a number
-
+
112222121110002 = 233294173137174767
BaseRepresentation
bin11001100001000010111111…
…101010100010100111110010
3112201100022220120110010202000
4121201002333222202213302
5104202121401001010002
61034402044123034430
732431531530353661
oct3141027752424762
9481308816403660
10112222121110002
1132837152818572
121070549536ba16
134a80667acbba7
141d9d81877add8
15ce924cc1761c
hex6610bfaa29f2

112222121110002 has 256 divisors, whose sum is σ = 269851299379200. Its totient is φ = 34499982827520.

The previous prime is 112222121109911. The next prime is 112222121110013. The reversal of 112222121110002 is 200011121222211.

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 127 ways as a sum of consecutive naturals, for example, 642036823 + ... + 642211589.

It is an arithmetic number, because the mean of its divisors is an integer number (1054106638200).

Almost surely, 2112222121110002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112222121110002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134925649689600).

112222121110002 is an abundant number, since it is smaller than the sum of its proper divisors (157629178269198).

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

112222121110002 is a wasteful number, since it uses less digits than its factorization.

112222121110002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175058 (or 175052 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112222121110002 its reverse (200011121222211), we get a palindrome (312233242332213).

The spelling of 112222121110002 in words is "one hundred twelve trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand, two".