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213320110332 = 2237191259106163
BaseRepresentation
bin1100011010101011011…
…1101001000011111100
3202101121122102101210010
43012222313221003330
511443334422012312
6241555314143220
721261162006630
oct3065267510374
9671548371703
10213320110332
118251770624a
1235414581b10
1317167b10374
14a479176dc0
155837a5893c
hex31aade90fc

213320110332 has 96 divisors (see below), whose sum is σ = 599274547200. Its totient is φ = 57694375872.

The previous prime is 213320110309. The next prime is 213320110349. The reversal of 213320110332 is 233011023312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 213320110299 and 213320110308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1956283 + ... + 2062445.

It is an arithmetic number, because the mean of its divisors is an integer number (6242443200).

Almost surely, 2213320110332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213320110332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299637273600).

213320110332 is an abundant number, since it is smaller than the sum of its proper divisors (385954436868).

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

213320110332 is a wasteful number, since it uses less digits than its factorization.

213320110332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107455 (or 107453 counting only the distinct ones).

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

Adding to 213320110332 its reverse (233011023312), we get a palindrome (446331133644).

The spelling of 213320110332 in words is "two hundred thirteen billion, three hundred twenty million, one hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1259 1596 2518 3777 5036 7554 8813 15108 17626 23921 26439 35252 47842 52878 71763 95684 105756 106163 143526 167447 212326 287052 318489 334894 424652 502341 636978 669788 743141 1004682 1273956 1486282 2009364 2017097 2229423 2972564 4034194 4458846 6051291 8068388 8917692 12102582 14119679 24205164 28239358 42359037 56478716 84718074 133659217 169436148 267318434 400977651 534636868 801955302 935614519 1603910604 1871229038 2539525123 2806843557 3742458076 5079050246 5613687114 7618575369 10158100492 11227374228 15237150738 17776675861 30474301476 35553351722 53330027583 71106703444 106660055166 213320110332