Search a number
-
+
111244430302200 = 2332521320892275747
BaseRepresentation
bin11001010010110100011100…
…110000000101101111111000
3112120212212022121201002200200
4121102310130300011233320
5104040112043124132300
61032332552532002200
732301100454536416
oct3122643460055770
9476785277632620
10111244430302200
113249a5528509a8
1210587aba760360
134a0c3c67510c0
141d6838b19c2b6
15ccdac9d07200
hex652d1cc05bf8

111244430302200 has 288 divisors, whose sum is σ = 402526796271600. Its totient is φ = 27370124052480.

The previous prime is 111244430302193. The next prime is 111244430302207. The reversal of 111244430302200 is 2203034442111.

111244430302200 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 4 + 4 + 430 + 3 + 0 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111244430302193) and next prime (111244430302207).

It is a super-2 number, since 2×1112444303022002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111244430302207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47744727 + ... + 50020473.

Almost surely, 2111244430302200 is an apocalyptic number.

111244430302200 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 111244430302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201263398135800).

111244430302200 is an abundant number, since it is smaller than the sum of its proper divisors (291282365969400).

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

111244430302200 is a wasteful number, since it uses less digits than its factorization.

111244430302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277871 (or 2277859 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 111244430302200 its reverse (2203034442111), we get a palindrome (113447464744311).

The spelling of 111244430302200 in words is "one hundred eleven trillion, two hundred forty-four billion, four hundred thirty million, three hundred two thousand, two hundred".