Search a number
-
+
111321142340100 = 2235271126946338693
BaseRepresentation
bin11001010011111011111001…
…001001010010101000000100
3112121011012022210221101121120
4121103323321021102220010
5104042341144414340400
61032432120553113540
732306454453233610
oct3123737111225004
9477135283841546
10111321142340100
113251a038795430
121059a9493b88b0
134a16700629bc4
141d6bd873b2340
15cd0ab97eeca0
hex653ef9252a04

111321142340100 has 576 divisors, whose sum is σ = 403939506216960. Its totient is φ = 22995305625600.

The previous prime is 111321142340099. The next prime is 111321142340147. The reversal of 111321142340100 is 1043241123111.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2877016354 + ... + 2877055046.

It is an arithmetic number, because the mean of its divisors is an integer number (701283864960).

Almost surely, 2111321142340100 is an apocalyptic number.

111321142340100 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 111321142340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201969753108480).

111321142340100 is an abundant number, since it is smaller than the sum of its proper divisors (292618363876860).

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

111321142340100 is a wasteful number, since it uses less digits than its factorization.

111321142340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39460 (or 39453 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 111321142340100 its reverse (1043241123111), we get a palindrome (112364383463211).

The spelling of 111321142340100 in words is "one hundred eleven trillion, three hundred twenty-one billion, one hundred forty-two million, three hundred forty thousand, one hundred".