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20132130000 = 2435423163179
BaseRepresentation
bin10010101111111101…
…111110110011010000
31220222001011011112110
4102233331332303100
5312212311130000
613125405225320
71311615165363
oct225775766320
956861134473
1020132130000
1185a1076274
123a9a262240
131b8ab8aa78
14d8da7c0da
157cc66a850
hex4aff7ecd0

20132130000 has 400 divisors, whose sum is σ = 68612037120. Its totient is φ = 5075136000.

The previous prime is 20132129987. The next prime is 20132130077. The reversal of 20132130000 is 3123102.

It is a happy number.

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 a congruent number.

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, 112469911 + ... + 112470089.

Almost surely, 220132130000 is an apocalyptic number.

20132130000 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 20132130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34306018560).

20132130000 is an abundant number, since it is smaller than the sum of its proper divisors (48479907120).

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

20132130000 is a wasteful number, since it uses less digits than its factorization.

20132130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 375 counting only the distinct ones).

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

Adding to 20132130000 its reverse (3123102), we get a palindrome (20135253102).

The spelling of 20132130000 in words is "twenty billion, one hundred thirty-two million, one hundred thirty thousand".