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213222030300 = 223252631375457
BaseRepresentation
bin1100011010010100000…
…1011111101111011100
3202101100210212102021100
43012211001133233130
511443134314432200
6241541452033100
721255561232206
oct3064501375734
9671323772240
10213222030300
1182477306274
12353a7762790
13171506bc746
14a46a125776
15582e132d00
hex31a505fbdc

213222030300 has 108 divisors (see below), whose sum is σ = 669393555376. Its totient is φ = 56768947200.

The previous prime is 213222030257. The next prime is 213222030323. The reversal of 213222030300 is 3030222312.

It is a happy number.

213222030300 is a `hidden beast` number, since 21 + 322 + 20 + 3 + 0 + 300 = 666.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380172 + ... + 755628.

Almost surely, 2213222030300 is an apocalyptic number.

213222030300 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 213222030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334696777688).

213222030300 is an abundant number, since it is smaller than the sum of its proper divisors (456171525076).

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

213222030300 is a wasteful number, since it uses less digits than its factorization.

213222030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376108 (or 376098 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 213222030300 its reverse (3030222312), we get a palindrome (216252252612).

The spelling of 213222030300 in words is "two hundred thirteen billion, two hundred twenty-two million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 631 900 1262 1893 2524 3155 3786 5679 6310 7572 9465 11358 12620 15775 18930 22716 28395 31550 37860 47325 56790 63100 94650 113580 141975 189300 283950 375457 567900 750914 1126371 1501828 1877285 2252742 3379113 3754570 4505484 5631855 6758226 7509140 9386425 11263710 13516452 16895565 18772850 22527420 28159275 33791130 37545700 56318550 67582260 84477825 112637100 168955650 236913367 337911300 473826734 710740101 947653468 1184566835 1421480202 2132220303 2369133670 2842960404 3553700505 4264440606 4738267340 5922834175 7107401010 8528881212 10661101515 11845668350 14214802020 17768502525 21322203030 23691336700 35537005050 42644406060 53305507575 71074010100 106611015150 213222030300