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2033130000 = 243541161101
BaseRepresentation
bin111100100101111…
…0001101000010000
312020200200201001010
41321023301220100
513130440130000
6533425010520
7101245214466
oct17113615020
95220621033
102033130000
11953715730
12488a83a40
132652a6c05
14154040836
15bd758d50
hex792f1a10

2033130000 has 400 divisors, whose sum is σ = 7349297472. Its totient is φ = 480000000.

The previous prime is 2033129981. The next prime is 2033130019. The reversal of 2033130000 is 313302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2033129981) and next prime (2033130019).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20129950 + ... + 20130050.

Almost surely, 22033130000 is an apocalyptic number.

2033130000 is a gapful number since it is divisible by the number (20) 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 2033130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674648736).

2033130000 is an abundant number, since it is smaller than the sum of its proper divisors (5316167472).

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

2033130000 is a wasteful number, since it uses less digits than its factorization.

2033130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2033130000 is about 45090.2428469841. The cubic root of 2033130000 is about 1266.8398501279.

Adding to 2033130000 its reverse (313302), we get a palindrome (2033443302).

The spelling of 2033130000 in words is "two billion, thirty-three million, one hundred thirty thousand".