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212021022200200 = 23521060105111001
BaseRepresentation
bin110000001101010011111101…
…101101101001000110001000
31000210201000022120200120200021
4300031103331231221012020
5210242223023140401300
62030533040222150224
762442004403146453
oct6015237555510610
91023630276616607
10212021022200200
1161613679723324
121b943117422374
13913c65c067285
143a4dc2d57449a
15197a247844d1a
hexc0d4fdb69188

212021022200200 has 24 divisors (see below), whose sum is σ = 492948876615930. Its totient is φ = 84808408880000.

The previous prime is 212021022200089. The next prime is 212021022200203. The reversal of 212021022200200 is 2002220120212.

It can be written as a sum of positive squares in 3 ways, for example, as 166049666072676 + 45971356127524 = 12886026^2 + 6780218^2 .

It is not an unprimeable number, because it can be changed into a prime (212021022200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 530052555301 + ... + 530052555700.

Almost surely, 2212021022200200 is an apocalyptic number.

212021022200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021022200200 is an abundant number, since it is smaller than the sum of its proper divisors (280927854415730).

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

212021022200200 is a wasteful number, since it uses less digits than its factorization.

212021022200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060105111017 (or 1060105111008 counting only the distinct ones).

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

Adding to 212021022200200 its reverse (2002220120212), we get a palindrome (214023242320412).

The spelling of 212021022200200 in words is "two hundred twelve trillion, twenty-one billion, twenty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1060105111001 2120210222002 4240420444004 5300525555005 8480840888008 10601051110010 21202102220020 26502627775025 42404204440040 53005255550050 106010511100100 212021022200200