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20201130000 = 243354233253
BaseRepresentation
bin10010110100000101…
…001100100000010000
31221010211222201202000
4102310011030200100
5312332442130000
613140312154000
71313413525512
oct226405144020
957124881660
1020201130000
118627013a67
123ab9398900
131b9c26937c
14d98cbdbb2
157d374a000
hex4b414c810

20201130000 has 400 divisors, whose sum is σ = 75631290240. Its totient is φ = 5151168000.

The previous prime is 20201129999. The next prime is 20201130007. The reversal of 20201130000 is 3110202.

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 (9).

It is not an unprimeable number, because it can be changed into a prime (20201130007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6208374 + ... + 6211626.

Almost surely, 220201130000 is an apocalyptic number.

20201130000 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 20201130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37815645120).

20201130000 is an abundant number, since it is smaller than the sum of its proper divisors (55430160240).

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

20201130000 is a wasteful number, since it uses less digits than its factorization.

20201130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20201130000 its reverse (3110202), we get a palindrome (20204240202).

The spelling of 20201130000 in words is "twenty billion, two hundred one million, one hundred thirty thousand".