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213302302213 = 711132275931583
BaseRepresentation
bin1100011010100111001…
…1101101011000000101
3202101120101220122122011
43012221303231120011
511443320342132323
6241553440334221
721260554440130
oct3065163553005
9671511818564
10213302302213
11825086527a0
123540a614371
1317164216810
14a476a5d217
1558361dc20d
hex31a9ced605

213302302213 has 64 divisors (see below), whose sum is σ = 288320643072. Its totient is φ = 152394439680.

The previous prime is 213302302189. The next prime is 213302302271. The reversal of 213302302213 is 312203203312.

213302302213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213302302213 - 225 = 213268747781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213302302813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134744820 + ... + 134746402.

It is an arithmetic number, because the mean of its divisors is an integer number (4505010048).

Almost surely, 2213302302213 is an apocalyptic number.

It is an amenable number.

213302302213 is a deficient number, since it is larger than the sum of its proper divisors (75018340859).

213302302213 is a wasteful number, since it uses less digits than its factorization.

213302302213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 213302302213 its reverse (312203203312), we get a palindrome (525505505525).

It can be divided in two parts, 213302 and 302213, that added together give a palindrome (515515).

The spelling of 213302302213 in words is "two hundred thirteen billion, three hundred two million, three hundred two thousand, two hundred thirteen".

Divisors: 1 7 11 13 77 91 143 227 593 1001 1583 1589 2497 2951 4151 6523 7709 11081 17413 17479 20579 20657 32461 45661 53963 84799 121891 134611 144053 226369 227227 359341 593593 938719 942277 1480721 1584583 1749943 2515387 3952751 4671433 6571033 10325909 10365047 12203347 12249601 19249373 27669257 32700031 51385763 72281363 85423429 134236817 134745611 213089213 359700341 939657719 1491624491 2343981343 2770159769 16407869401 19391118383 30471757459 213302302213