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213332300000 = 255512311733
BaseRepresentation
bin1100011010101110011…
…0001001000011100000
3202101122111100200212022
43012223212021003200
511443401032100000
6242000431321012
721261400426211
oct3065346110340
9671574320768
10213332300000
1182523581556
1235418680168
131716a4ba7a1
14a47aa2b408
155838b65585
hex31ab9890e0

213332300000 has 144 divisors (see below), whose sum is σ = 525693478464. Its totient is φ = 85214400000.

The previous prime is 213332299981. The next prime is 213332300009. The reversal of 213332300000 is 3233312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213332300009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123099134 + ... + 123100866.

It is an arithmetic number, because the mean of its divisors is an integer number (3650649156).

Almost surely, 2213332300000 is an apocalyptic number.

213332300000 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 213332300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262846739232).

213332300000 is an abundant number, since it is smaller than the sum of its proper divisors (312361178464).

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

213332300000 is an equidigital number, since it uses as much as digits as its factorization.

213332300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 213332300000 its reverse (3233312), we get a palindrome (213335533312).

The spelling of 213332300000 in words is "two hundred thirteen billion, three hundred thirty-two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1231 1250 1733 2000 2462 2500 3125 3466 4000 4924 5000 6155 6250 6932 8665 9848 10000 12310 12500 13864 17330 19696 20000 24620 25000 27728 30775 34660 39392 43325 49240 50000 55456 61550 69320 86650 98480 100000 123100 138640 153875 173300 196960 216625 246200 277280 307750 346600 433250 492400 615500 693200 769375 866500 984800 1083125 1231000 1386400 1538750 1733000 2133323 2166250 2462000 3077500 3466000 3846875 4266646 4332500 4924000 5415625 6155000 6932000 7693750 8533292 8665000 10666615 10831250 12310000 15387500 17066584 17330000 21333230 21662500 24620000 30775000 34133168 34660000 42666460 43325000 53333075 61550000 68266336 85332920 86650000 106666150 123100000 170665840 173300000 213332300 266665375 341331680 426664600 533330750 853329200 1066661500 1333326875 1706658400 2133323000 2666653750 4266646000 5333307500 6666634375 8533292000 10666615000 13333268750 21333230000 26666537500 42666460000 53333075000 106666150000 213332300000