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202100210020 = 22510105010501
BaseRepresentation
bin1011110000111000011…
…1000111100101100100
3201022122201012102000201
42330032013013211210
511302400123210040
6232502112520244
720413142304202
oct2741607074544
9638581172021
10202100210020
117878a333065
1233202b50084
131609a4817b7
149ad2dc4072
1553cca2da9a
hex2f0e1c7964

202100210020 has 12 divisors (see below), whose sum is σ = 424410441084. Its totient is φ = 80840084000.

The previous prime is 202100209991. The next prime is 202100210029. The reversal of 202100210020 is 20012001202.

202100210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 104039792704 + 98060417316 = 322552^2 + 313146^2 .

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 = 202100209979 and 202100210006.

It is not an unprimeable number, because it can be changed into a prime (202100210029) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5052505231 + ... + 5052505270.

It is an arithmetic number, because the mean of its divisors is an integer number (35367536757).

Almost surely, 2202100210020 is an apocalyptic number.

202100210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100210020 is an abundant number, since it is smaller than the sum of its proper divisors (222310231064).

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

202100210020 is a wasteful number, since it uses less digits than its factorization.

202100210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105010510 (or 10105010508 counting only the distinct ones).

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

Adding to 202100210020 its reverse (20012001202), we get a palindrome (222112211222).

The spelling of 202100210020 in words is "two hundred two billion, one hundred million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 10105010501 20210021002 40420042004 50525052505 101050105010 202100210020