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213022311330012 = 2232337109191376139
BaseRepresentation
bin110000011011111000011111…
…001100100011000011011100
31000221020201211010211120210220
4300123320133030203003130
5210410124143200030022
62033021033203201340
762604232313263452
oct6033703714430334
91027221733746726
10213022311330012
116196a2892a1558
121ba85199076250
1391b2bc1433102
143a86498cac9d2
1519962ec35085c
hexc1be1f3230dc

213022311330012 has 96 divisors (see below), whose sum is σ = 537567922214400. Its totient is φ = 65478197359872.

The previous prime is 213022311329957. The next prime is 213022311330013. The reversal of 213022311330012 is 210033113220312.

213022311330012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213022311330013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94574962 + ... + 96801177.

It is an arithmetic number, because the mean of its divisors is an integer number (5599665856400).

Almost surely, 2213022311330012 is an apocalyptic number.

It is an amenable number.

213022311330012 is an abundant number, since it is smaller than the sum of its proper divisors (324545610884388).

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

213022311330012 is a wasteful number, since it uses less digits than its factorization.

213022311330012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191376315 (or 191376313 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 213022311330012 its reverse (210033113220312), we get a palindrome (423055424550324).

The spelling of 213022311330012 in words is "two hundred thirteen trillion, twenty-two billion, three hundred eleven million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 109 111 138 148 218 222 276 327 436 444 654 851 1308 1702 2507 2553 3404 4033 5014 5106 7521 8066 10028 10212 12099 15042 16132 24198 30084 48396 92759 185518 278277 371036 556554 1113108 191376139 382752278 574128417 765504556 1148256834 2296513668 4401651197 7080917143 8803302394 13204953591 14161834286 17606604788 20859999151 21242751429 26409907182 28323668572 41719998302 42485502858 52819814364 62579997453 83439996604 84971005716 125159994906 162861094289 250319989812 325722188578 479779980473 488583282867 651444377156 771819968587 959559960946 977166565734 1439339941419 1543639937174 1919119921892 1954333131468 2315459905761 2878679882838 3087279874348 4630919811522 5757359765676 9261839623044 17751859277501 35503718555002 53255577832503 71007437110004 106511155665006 213022311330012