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213311320112 = 2411314237039
BaseRepresentation
bin1100011010101001011…
…0000111000000110000
3202101121000212210212102
43012222112013000300
511443330144220422
6241554401515532
721261024206312
oct3065226070060
9671530783772
10213311320112
1182512752000
1235411642ba8
1317166053357
14a477d297b2
155836dbe192
hex31aa587030

213311320112 has 80 divisors (see below), whose sum is σ = 454972784640. Its totient is φ = 96877788480.

The previous prime is 213311320111. The next prime is 213311320133. The reversal of 213311320112 is 211023113312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213311320111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30300689 + ... + 30307727.

It is an arithmetic number, because the mean of its divisors is an integer number (5687159808).

Almost surely, 2213311320112 is an apocalyptic number.

213311320112 is a gapful number since it is divisible by the number (22) 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 213311320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227486392320).

213311320112 is an abundant number, since it is smaller than the sum of its proper divisors (241661464528).

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

213311320112 is a wasteful number, since it uses less digits than its factorization.

213311320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8503 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 213311320112 its reverse (211023113312), we get a palindrome (424334433424).

The spelling of 213311320112 in words is "two hundred thirteen billion, three hundred eleven million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1423 1936 2662 2846 5324 5692 7039 10648 11384 14078 15653 21296 22768 28156 31306 56312 62612 77429 112624 125224 154858 172183 250448 309716 344366 619432 688732 851719 1238864 1377464 1703438 1894013 2754928 3406876 3788026 6813752 7576052 9368909 10016497 13627504 15152104 18737818 20032994 30304208 37475636 40065988 74951272 80131976 110181467 149902544 160263952 220362934 440725868 881451736 1211996137 1762903472 2423992274 4847984548 9695969096 13331957507 19391938192 26663915014 53327830028 106655660056 213311320112