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212132221220200 = 23521060661106101
BaseRepresentation
bin110000001110111011100001…
…101100001111010101101000
31000211002122100020021002021111
4300032323201230033111220
5210301033242113021300
62031100110323120104
762453022124214161
oct6016734154172550
91024078306232244
10212132221220200
116165685166a956
121b96078b813034
139149ca0aa4568
143a5537bab0768
15197d0a4d329ba
hexc0eee1b0f568

212132221220200 has 24 divisors (see below), whose sum is σ = 493207414337430. Its totient is φ = 84852888488000.

The previous prime is 212132221220147. The next prime is 212132221220221. The reversal of 212132221220200 is 2022122231212.

It is a happy number.

212132221220200 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 3 ways, for example, as 186045726260164 + 26086494960036 = 13639858^2 + 5107494^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 530330552851 + ... + 530330553250.

Almost surely, 2212132221220200 is an apocalyptic number.

212132221220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132221220200 is an abundant number, since it is smaller than the sum of its proper divisors (281075193117230).

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

212132221220200 is a wasteful number, since it uses less digits than its factorization.

212132221220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060661106117 (or 1060661106108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 212132221220200 its reverse (2022122231212), we get a palindrome (214154343451412).

It can be divided in two parts, 21213222 and 1220200, that added together give a palindrome (22433422).

The spelling of 212132221220200 in words is "two hundred twelve trillion, one hundred thirty-two billion, two hundred twenty-one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1060661106101 2121322212202 4242644424404 5303305530505 8485288848808 10606611061010 21213222122020 26516527652525 42426444244040 53033055305050 106066110610100 212132221220200