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20201010000 = 2435459101113
BaseRepresentation
bin10010110100000100…
…101111001101010000
31221010211202122010120
4102310010233031100
5312332424310000
613140305430240
71313412515613
oct226404571520
957124678116
1020201010000
118626a41896
123ab933b380
131b9c226872
14d98c8c17a
157d37246a0
hex4b412f350

20201010000 has 400 divisors, whose sum is σ = 67566121920. Its totient is φ = 5196800000.

The previous prime is 20201009993. The next prime is 20201010023. The reversal of 20201010000 is 1010202.

Adding to 20201010000 its reverse (1010202), we get a palindrome (20202020202).

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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 178769944 + ... + 178770056.

Almost surely, 220201010000 is an apocalyptic number.

20201010000 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 20201010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33783060960).

20201010000 is an abundant number, since it is smaller than the sum of its proper divisors (47365111920).

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

20201010000 is a wasteful number, since it uses less digits than its factorization.

20201010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The spelling of 20201010000 in words is "twenty billion, two hundred one million, ten thousand".