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212221320230213 = 7240142532539529
BaseRepresentation
bin110000010000001110100000…
…011001111111010101000101
31000211102011022200202202111022
4300100032200121333111011
5210304013230434331323
62031205043440120525
762462325103256600
oct6020164031772505
91024364280682438
10212221320230213
1161690613742918
121b975ab6906145
139155500044668
143a597d1075337
15198056c0394c8
hexc103a067f545

212221320230213 has 24 divisors (see below), whose sum is σ = 247543622446680. Its totient is φ = 181407627340800.

The previous prime is 212221320230203. The next prime is 212221320230243. The reversal of 212221320230213 is 312032023122212.

It can be written as a sum of positive squares in 4 ways, for example, as 33312959540644 + 178908360689569 = 5771738^2 + 13375663^2 .

It is not a de Polignac number, because 212221320230213 - 214 = 212221320213829 is a prime.

It is a super-2 number, since 2×2122213202302132 (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 (212221320230203) 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, 82297433 + ... + 84836961.

It is an arithmetic number, because the mean of its divisors is an integer number (10314317601945).

Almost surely, 2212221320230213 is an apocalyptic number.

It is an amenable number.

212221320230213 is a deficient number, since it is larger than the sum of its proper divisors (35322302216467).

212221320230213 is a wasteful number, since it uses less digits than its factorization.

212221320230213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544197 (or 2544190 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 212221320230213 its reverse (312032023122212), we get a palindrome (524253343352425).

The spelling of 212221320230213 in words is "two hundred twelve trillion, two hundred twenty-one billion, three hundred twenty million, two hundred thirty thousand, two hundred thirteen".

Divisors: 1 7 49 401 2807 4253 19649 29771 208397 1705453 2539529 11938171 17776703 83567197 124436921 1018351129 7128457903 10800616837 49899205321 75604317859 529230225013 4331047351637 30317331461459 212221320230213