Search a number
-
+
111442244100 = 22352113110710181
BaseRepresentation
bin110011111001001111…
…0011011001000000100
3101122122121020120100020
41213302132123020010
53311213203302400
6123110150015140
711023433305515
oct1476236331004
9348577216306
10111442244100
1143298272490
12197219474b0
13a680249795
145572970a0c
152d73a342a0
hex19f279b204

111442244100 has 288 divisors, whose sum is σ = 366528540672. Its totient is φ = 25897920000.

The previous prime is 111442244093. The next prime is 111442244161. The reversal of 111442244100 is 1442244111.

111442244100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10941010 + ... + 10951190.

It is an arithmetic number, because the mean of its divisors is an integer number (1272668544).

Almost surely, 2111442244100 is an apocalyptic number.

111442244100 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 111442244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183264270336).

111442244100 is an abundant number, since it is smaller than the sum of its proper divisors (255086296572).

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

111442244100 is a wasteful number, since it uses less digits than its factorization.

111442244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10347 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 111442244100 its reverse (1442244111), we get a palindrome (112884488211).

The spelling of 111442244100 in words is "one hundred eleven billion, four hundred forty-two million, two hundred forty-four thousand, one hundred".