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213212223310424 = 231310750873766459
BaseRepresentation
bin110000011110101001010110…
…110101010000101001011000
31000221220220000102201210000012
4300132221112311100221120
5210421232113131413144
62033244202044101052
762624034440421602
oct6036512665205130
91027826012653005
10213212223310424
1161a3288369a288
121bab5b5a234788
1391c7a98757410
143a91753278172
15199b214d2be9e
hexc1ea56d50a58

213212223310424 has 64 divisors (see below), whose sum is σ = 434633815526400. Its totient is φ = 97466773014144.

The previous prime is 213212223310421. The next prime is 213212223310439. The reversal of 213212223310424 is 424013322212312.

It is a happy number.

It is a super-2 number, since 2×2132122233104242 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213212223310421) 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, 54724907 + ... + 58491365.

It is an arithmetic number, because the mean of its divisors is an integer number (6791153367600).

Almost surely, 2213212223310424 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 213212223310424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217316907763200).

213212223310424 is an abundant number, since it is smaller than the sum of its proper divisors (221421592215976).

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

213212223310424 is a wasteful number, since it uses less digits than its factorization.

213212223310424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771672 (or 3771668 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 213212223310424 its reverse (424013322212312), we get a palindrome (637225545522736).

The spelling of 213212223310424 in words is "two hundred thirteen trillion, two hundred twelve billion, two hundred twenty-three million, three hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 107 214 428 856 1391 2782 5087 5564 10174 11128 20348 40696 66131 132262 264524 529048 544309 1088618 2177236 3766459 4354472 7076017 7532918 14152034 15065836 28304068 30131672 48963967 56608136 97927934 195855868 391711736 403011113 806022226 1612044452 3224088904 5239144469 10478288938 19159976933 20956577876 38319953866 41913155752 76639907732 153279815464 249079700129 498159400258 996318800516 1992637601032 2050117531831 4100235063662 8200470127324 16400940254648 26651527913803 53303055827606 106606111655212 213212223310424