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202122212020 = 225101100060501
BaseRepresentation
bin1011110000111101101…
…1000011001010110100
3201022201020121020002121
42330033123003022310
511302421241241040
6232504220245324
720413530312031
oct2741733031264
9638636536077
10202122212020
11787a07a0533
123320a3a0844
13160a1bb6231
149ad5cb0388
1553ce927c4a
hex2f0f6c32b4

202122212020 has 24 divisors (see below), whose sum is σ = 428659190568. Its totient is φ = 80048400000.

The previous prime is 202122211961. The next prime is 202122212069. The reversal of 202122212020 is 20212221202.

It can be written as a sum of positive squares in 4 ways, for example, as 105055070884 + 97067141136 = 324122^2 + 311556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202122211985 and 202122212003.

It is a congruent number.

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, 50028231 + ... + 50032270.

It is an arithmetic number, because the mean of its divisors is an integer number (17860799607).

Almost surely, 2202122212020 is an apocalyptic number.

202122212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122212020 is an abundant number, since it is smaller than the sum of its proper divisors (226536978548).

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

202122212020 is a wasteful number, since it uses less digits than its factorization.

202122212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100060611 (or 100060609 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202122212020 its reverse (20212221202), we get a palindrome (222334433222).

It can be divided in two parts, 20 and 2122212020, that multiplied together give a square (42444240400 = 2060202).

The spelling of 202122212020 in words is "two hundred two billion, one hundred twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 100060501 200121002 400242004 500302505 1000605010 2001210020 10106110601 20212221202 40424442404 50530553005 101061106010 202122212020