Search a number
-
+
210132230222320 = 245721631933115479
BaseRepresentation
bin101111110001110100111000…
…111100000011000111110000
31000120000110000102100120220021
4233301310320330003013300
5210020301301414103240
62022525225223053224
762155360361221300
oct5761647074030760
91016013012316807
10210132230222320
1160a5563a90853a
121b69904a8a1214
1390334cc3727b3
1439c66504c5600
15194604ca3254a
hexbf1d38f031f0

210132230222320 has 480 divisors, whose sum is σ = 576724671544320. Its totient is φ = 70990336327680.

The previous prime is 210132230222293. The next prime is 210132230222329. The reversal of 210132230222320 is 23222032231012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210132230222329) 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, 38352293341 + ... + 38352298819.

It is an arithmetic number, because the mean of its divisors is an integer number (1201509732384).

Almost surely, 2210132230222320 is an apocalyptic number.

210132230222320 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 210132230222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288362335772160).

210132230222320 is an abundant number, since it is smaller than the sum of its proper divisors (366592441322000).

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

210132230222320 is a wasteful number, since it uses less digits than its factorization.

210132230222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 210132230222320 its reverse (23222032231012), we get a palindrome (233354262453332).

The spelling of 210132230222320 in words is "two hundred ten trillion, one hundred thirty-two billion, two hundred thirty million, two hundred twenty-two thousand, three hundred twenty".