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112130301000200 = 235272109389449601
BaseRepresentation
bin11001011111101101011110…
…110000100111101000001000
3112201000112220110201021100112
4121133231132300213220020
5104144120324024001300
61034251541003253452
732422101250325600
oct3137553660475010
9481015813637315
10112130301000200
1132801214757aaa
12106ab72ab1a288
134a74ac3b98482
141d991c7c4dc00
15ce6b76bade35
hex65fb5ec27a08

112130301000200 has 576 divisors, whose sum is σ = 308030773050000. Its totient is φ = 37846351872000.

The previous prime is 112130301000143. The next prime is 112130301000269. The reversal of 112130301000200 is 2000103031211.

It can be written as a sum of positive squares in 24 ways, for example, as 453637272676 + 111676663727524 = 673526^2 + 10567718^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 186572879900 + ... + 186572880500.

Almost surely, 2112130301000200 is an apocalyptic number.

112130301000200 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 112130301000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154015386525000).

112130301000200 is an abundant number, since it is smaller than the sum of its proper divisors (195900472049800).

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

112130301000200 is a wasteful number, since it uses less digits than its factorization.

112130301000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 112130301000200 its reverse (2000103031211), we get a palindrome (114130404031411).

The spelling of 112130301000200 in words is "one hundred twelve trillion, one hundred thirty billion, three hundred one million, two hundred", and thus it is an aban number.