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202110222000020 = 22510105511100001
BaseRepresentation
bin101101111101000101110011…
…111111001101111110010100
3222111121112210212121122200112
4231331011303333031332110
5202442333213313000040
61553504053150302152
760366660466336445
oct5575056377157624
9874545725548615
10202110222000020
1159442511353134
121a8023944b7958
1388a0bb200acb9
1437ca288d652cc
15185753d8b7365
hexb7d173fcdf94

202110222000020 has 12 divisors (see below), whose sum is σ = 424431466200084. Its totient is φ = 80844088800000.

The previous prime is 202110222000013. The next prime is 202110222000079. The reversal of 202110222000020 is 20000222011202.

It can be written as a sum of positive squares in 2 ways, for example, as 142783810811524 + 59326411188496 = 11949218^2 + 7702364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202110221999959 and 202110222000004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5052755549981 + ... + 5052755550020.

It is an arithmetic number, because the mean of its divisors is an integer number (35369288850007).

Almost surely, 2202110222000020 is an apocalyptic number.

202110222000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202110222000020 is an abundant number, since it is smaller than the sum of its proper divisors (222321244200064).

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

202110222000020 is a wasteful number, since it uses less digits than its factorization.

202110222000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105511100010 (or 10105511100008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202110222000020 its reverse (20000222011202), we get a palindrome (222110444011222).

The spelling of 202110222000020 in words is "two hundred two trillion, one hundred ten billion, two hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 10105511100001 20211022200002 40422044400004 50527555500005 101055111000010 202110222000020