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212331034300 = 2252711232694457
BaseRepresentation
bin1100010110111111101…
…0100111011010111100
3202022001201022010112111
43011233322213122330
511434323221044200
6241313222543404
721224522004220
oct3055772473274
9668051263474
10212331034300
118205a373840
1235199297b64
131703ac29488
14a3c3a70780
1557cacd40ba
hex316fea76bc

212331034300 has 288 divisors, whose sum is σ = 601791482880. Its totient is φ = 63054182400.

The previous prime is 212331034217. The next prime is 212331034301. The reversal of 212331034300 is 3430133212.

212331034300 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212331034301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47637672 + ... + 47642128.

It is an arithmetic number, because the mean of its divisors is an integer number (2089553760).

Almost surely, 2212331034300 is an apocalyptic number.

212331034300 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 212331034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300895741440).

212331034300 is an abundant number, since it is smaller than the sum of its proper divisors (389460448580).

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

212331034300 is a wasteful number, since it uses less digits than its factorization.

212331034300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 212331034300 its reverse (3430133212), we get a palindrome (215761167512).

The spelling of 212331034300 in words is "two hundred twelve billion, three hundred thirty-one million, thirty-four thousand, three hundred".