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212331220200 = 2332521131211159
BaseRepresentation
bin1100010110111111101…
…1010100110011101000
3202022001201122120112200
43011233323110303220
511434323243021300
6241313230540200
721224523410211
oct3055773246350
9668051576480
10212331220200
118205a490480
1235199367660
131703ac92c88
14a3c3abc408
1557cad1e200
hex316fed4ce8

212331220200 has 432 divisors, whose sum is σ = 803879575200. Its totient is φ = 49809312000.

The previous prime is 212331220109. The next prime is 212331220217. The reversal of 212331220200 is 2022133212.

212331220200 is a `hidden beast` number, since 212 + 3 + 31 + 220 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19022221 + ... + 19033379.

It is an arithmetic number, because the mean of its divisors is an integer number (1860832350).

Almost surely, 2212331220200 is an apocalyptic number.

212331220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212331220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401939787600).

212331220200 is an abundant number, since it is smaller than the sum of its proper divisors (591548355000).

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

212331220200 is a wasteful number, since it uses less digits than its factorization.

212331220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11254 (or 11211 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212331220200 its reverse (2022133212), we get a palindrome (214353353412).

The spelling of 212331220200 in words is "two hundred twelve billion, three hundred thirty-one million, two hundred twenty thousand, two hundred".