Search a number
-
+
212330332110 = 23513233291543
BaseRepresentation
bin1100010110111111011…
…1111011111111001110
3202022001122222110022110
43011233313323333032
511434323031111420
6241313155524450
721224513021061
oct3055767737716
9668048873273
10212330332110
1182059a34216
1235198bb9726
131703aa41990
14a3c392a8d8
1557cabe5ee0
hex316fdfbfce

212330332110 has 256 divisors, whose sum is σ = 593903923200. Its totient is φ = 48238299648.

The previous prime is 212330332043. The next prime is 212330332153. The reversal of 212330332110 is 11233033212.

It is a super-3 number, since 3×2123303321103 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137607999 + ... + 137609541.

It is an arithmetic number, because the mean of its divisors is an integer number (2319937200).

Almost surely, 2212330332110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212330332110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296951961600).

212330332110 is an abundant number, since it is smaller than the sum of its proper divisors (381573591090).

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

212330332110 is a wasteful number, since it uses less digits than its factorization.

212330332110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 212330332110 its reverse (11233033212), we get a palindrome (223563365322).

The spelling of 212330332110 in words is "two hundred twelve billion, three hundred thirty million, three hundred thirty-two thousand, one hundred ten".