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20201002000 = 245310100501
BaseRepresentation
bin10010110100000100…
…101101010000010000
31221010211202020011021
4102310010231100100
5312332424031000
613140305325224
71313412453364
oct226404552020
957124666137
1020201002000
118626a36883
123ab9336814
131b9c22302a
14d98c892a4
157d372211a
hex4b412d410

20201002000 has 40 divisors (see below), whose sum is σ = 48846027672. Its totient is φ = 8080400000.

The previous prime is 20201001983. The next prime is 20201002013. The reversal of 20201002000 is 20010202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 633616 + 20200368384 = 796^2 + 142128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5048251 + ... + 5052250.

Almost surely, 220201002000 is an apocalyptic number.

20201002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201002000 is an abundant number, since it is smaller than the sum of its proper divisors (28645025672).

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

20201002000 is a wasteful number, since it uses less digits than its factorization.

20201002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100524 (or 10100508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 20201002000 its reverse (20010202), we get a palindrome (20221012202).

The spelling of 20201002000 in words is "twenty billion, two hundred one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10100501 20201002 40402004 50502505 80804008 101005010 161608016 202010020 252512525 404020040 505025050 808040080 1010050100 1262562625 2020100200 2525125250 4040200400 5050250500 10100501000 20201002000