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212033020200 = 233521731166841
BaseRepresentation
bin1100010101111000100…
…1110010000100101000
3202021021221112110001020
43011132021302010220
511433220423121300
6241223455252440
721214242635361
oct3053611620450
9667257473036
10212033020200
1181a171263a1
123511551a120
1316cc1275581
14a396256b68
1557aea688a0
hex315e272128

212033020200 has 192 divisors, whose sum is σ = 698215489920. Its totient is φ = 53044224000.

The previous prime is 212033020193. The next prime is 212033020267. The reversal of 212033020200 is 2020330212.

212033020200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212033020200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3138780 + ... + 3205620.

It is an arithmetic number, because the mean of its divisors is an integer number (3636539010).

Almost surely, 2212033020200 is an apocalyptic number.

212033020200 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 212033020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349107744960).

212033020200 is an abundant number, since it is smaller than the sum of its proper divisors (486182469720).

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

212033020200 is a wasteful number, since it uses less digits than its factorization.

212033020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67188 (or 67179 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 212033020200 its reverse (2020330212), we get a palindrome (214053350412).

It can be divided in two parts, 21203 and 3020200, that added together give a palindrome (3041403).

The spelling of 212033020200 in words is "two hundred twelve billion, thirty-three million, twenty thousand, two hundred".