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202122020200 = 23521759447653
BaseRepresentation
bin1011110000111101101…
…0010100010101101000
3201022201020020110222011
42330033122110111220
511302421214121300
6232504212205304
720413525552552
oct2741732242550
9638636213864
10202122020200
11787a067a401
123320a309834
13160a1b49b29
149ad5c604d2
1553ce8daeba
hex2f0f694568

202122020200 has 48 divisors (see below), whose sum is σ = 497576863980. Its totient is φ = 76092994560.

The previous prime is 202122020153. The next prime is 202122020203. The reversal of 202122020200 is 2020221202.

202122020200 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 6 ways, for example, as 95628140644 + 106493879556 = 309238^2 + 326334^2 .

It is a super-2 number, since 2×2021220202002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202122020203) 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 11 ways as a sum of consecutive naturals, for example, 29720427 + ... + 29727226.

Almost surely, 2202122020200 is an apocalyptic number.

202122020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122020200 is an abundant number, since it is smaller than the sum of its proper divisors (295454843780).

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

202122020200 is a wasteful number, since it uses less digits than its factorization.

202122020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59447686 (or 59447677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202122020200 its reverse (2020221202), we get a palindrome (204142241402).

The spelling of 202122020200 in words is "two hundred two billion, one hundred twenty-two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 59447653 118895306 237790612 297238265 475581224 594476530 1010610101 1188953060 1486191325 2021220202 2377906120 2972382650 4042440404 5053050505 5944765300 8084880808 10106101010 11889530600 20212202020 25265252525 40424404040 50530505050 101061010100 202122020200