Search a number
-
+
1112110212120 = 2335374127122543
BaseRepresentation
bin10000001011101110111…
…011110010010000011000
310221022112212120021200120
4100023232323302100120
5121210100203241440
62210521341233240
7143230061555265
oct20135673622030
93838485507616
101112110212120
11399709249666
1215b64b562820
1380b43a1a86b
143bb7d9b426c
151ddddc41dd0
hex102eeef2418

1112110212120 has 256 divisors, whose sum is σ = 3523183534080. Its totient is φ = 280458547200.

The previous prime is 1112110212077. The next prime is 1112110212131. The reversal of 1112110212120 is 212120112111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1112110212120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49321569 + ... + 49344111.

It is an arithmetic number, because the mean of its divisors is an integer number (13762435680).

Almost surely, 21112110212120 is an apocalyptic number.

1112110212120 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 1112110212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761591767040).

1112110212120 is an abundant number, since it is smaller than the sum of its proper divisors (2411073321960).

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

1112110212120 is a wasteful number, since it uses less digits than its factorization.

1112110212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22906 (or 22902 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1112110212120 its reverse (212120112111), we get a palindrome (1324230324231).

The spelling of 1112110212120 in words is "one trillion, one hundred twelve billion, one hundred ten million, two hundred twelve thousand, one hundred twenty".