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113111132200 = 2352113110116421
BaseRepresentation
bin110100101010111110…
…0101110100000101000
3101210221220112212102121
41221111330232200220
53323122422212300
6123543524041024
711112666521503
oct1512574564050
9353856485377
10113111132200
1143a74315850
1219b08833174
13a887c21c31
14569047813a
152e202de81a
hex1a55f2e828

113111132200 has 192 divisors, whose sum is σ = 299095856640. Its totient is φ = 39408000000.

The previous prime is 113111132191. The next prime is 113111132203. The reversal of 113111132200 is 2231111311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (113111132203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6879990 + ... + 6896410.

It is an arithmetic number, because the mean of its divisors is an integer number (1557790920).

Almost surely, 2113111132200 is an apocalyptic number.

113111132200 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 113111132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149547928320).

113111132200 is an abundant number, since it is smaller than the sum of its proper divisors (185984724440).

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

113111132200 is a wasteful number, since it uses less digits than its factorization.

113111132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16580 (or 16571 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 113111132200 its reverse (2231111311), we get a palindrome (115342243511).

The spelling of 113111132200 in words is "one hundred thirteen billion, one hundred eleven million, one hundred thirty-two thousand, two hundred".