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213440421320 = 23574716218877
BaseRepresentation
bin1100011011001000001…
…0100101110111001000
3202101221000210211102122
43012302002211313020
511444111221440240
6242015252550412
721264152434550
oct3066202456710
9671830724378
10213440421320
118257960a715
1235448922408
1317186a159b9
14a48b134160
1558433c14b5
hex31b20a5dc8

213440421320 has 64 divisors (see below), whose sum is σ = 560524423680. Its totient is φ = 71622556416.

The previous prime is 213440421289. The next prime is 213440421343. The reversal of 213440421320 is 23124044312.

It is a super-2 number, since 2×2134404213202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213440421320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8096279 + ... + 8122598.

It is an arithmetic number, because the mean of its divisors is an integer number (8758194120).

Almost surely, 2213440421320 is an apocalyptic number.

213440421320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213440421320 is an abundant number, since it is smaller than the sum of its proper divisors (347084002360).

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

213440421320 is a wasteful number, since it uses less digits than its factorization.

213440421320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16218942 (or 16218938 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 213440421320 its reverse (23124044312), we get a palindrome (236564465632).

The spelling of 213440421320 in words is "two hundred thirteen billion, four hundred forty million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 16218877 32437754 64875508 81094385 113532139 129751016 162188770 227064278 324377540 454128556 567660695 648755080 762287219 908257112 1135321390 1524574438 2270642780 3049148876 3811436095 4541285560 5336010533 6098297752 7622872190 10672021066 15245744380 21344042132 26680052665 30491488760 42688084264 53360105330 106720210660 213440421320