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211313101230 = 2325721119229267
BaseRepresentation
bin1100010011001100111…
…1100000100110101110
3202012102202212202212200
43010303033200212232
511430232123214410
6241024221042330
721160351503300
oct3046317404656
9665382782780
10211313101230
1181687811640
1234b543b63a6
1316c0808090a
14a3287b5970
15576b75e3c0
hex31333e09ae

211313101230 has 288 divisors, whose sum is σ = 733914380160. Its totient is φ = 41598023040.

The previous prime is 211313101201. The next prime is 211313101271. The reversal of 211313101230 is 32101313112.

211313101230 is a `hidden beast` number, since 21 + 1 + 313 + 101 + 230 = 666.

211313101230 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 807057 + ... + 1036323.

It is an arithmetic number, because the mean of its divisors is an integer number (2548313820).

Almost surely, 2211313101230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211313101230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366957190080).

211313101230 is an abundant number, since it is smaller than the sum of its proper divisors (522601278930).

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

211313101230 is a wasteful number, since it uses less digits than its factorization.

211313101230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229324 (or 229314 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211313101230 its reverse (32101313112), we get a palindrome (243414414342).

The spelling of 211313101230 in words is "two hundred eleven billion, three hundred thirteen million, one hundred one thousand, two hundred thirty".