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202100201020 = 22553214388969
BaseRepresentation
bin1011110000111000011…
…1000101011000111100
3201022122201011221200101
42330032013011120330
511302400122413040
6232502112410444
720413142236024
oct2741607053074
9638581157611
10202100201020
117878a327323
1233202b46a24
131609a47a683
149ad2dc0a84
1553cca2b09a
hex2f0e1c563c

202100201020 has 48 divisors (see below), whose sum is σ = 432624810240. Its totient is φ = 79276893696.

The previous prime is 202100200999. The next prime is 202100201033. The reversal of 202100201020 is 20102001202.

202100201020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 202100200988 and 202100201006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2227096 + ... + 2316064.

It is an arithmetic number, because the mean of its divisors is an integer number (9013016880).

Almost surely, 2202100201020 is an apocalyptic number.

202100201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100201020 is an abundant number, since it is smaller than the sum of its proper divisors (230524609220).

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

202100201020 is a wasteful number, since it uses less digits than its factorization.

202100201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91174 (or 91172 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202100201020 its reverse (20102001202), we get a palindrome (222202202222).

The spelling of 202100201020 in words is "two hundred two billion, one hundred million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 2143 4286 8572 10715 21430 42860 88969 113579 177938 227158 355876 444845 454316 567895 889690 1135790 1779380 2271580 4715357 9430714 18861428 23576785 47153570 94307140 190660567 381321134 762642268 953302835 1906605670 3813211340 10105010051 20210020102 40420040204 50525050255 101050100510 202100201020