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132103000200 = 233529710322037
BaseRepresentation
bin111101100000111110…
…0111101000010001000
3110121222111002201120010
41323001330331002020
54131021332001300
6140404241431520
712354430655163
oct1730174750210
9417874081503
10132103000200
115102a777326
122172903b5a0
13c5c37a3152
1465728d6ada
1536827bea50
hex1ec1f3d088

132103000200 has 192 divisors, whose sum is σ = 417777010560. Its totient is φ = 34524241920.

The previous prime is 132103000199. The next prime is 132103000207. The reversal of 132103000200 is 2000301231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (132103000207) 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, 5983582 + ... + 6005618.

It is an arithmetic number, because the mean of its divisors is an integer number (2175921930).

Almost surely, 2132103000200 is an apocalyptic number.

132103000200 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 132103000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208888505280).

132103000200 is an abundant number, since it is smaller than the sum of its proper divisors (285674010360).

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

132103000200 is a wasteful number, since it uses less digits than its factorization.

132103000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22256 (or 22247 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 132103000200 its reverse (2000301231), we get a palindrome (134103301431).

The spelling of 132103000200 in words is "one hundred thirty-two billion, one hundred three million, two hundred", and thus it is an aban number.