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212132121333 = 31110163646001
BaseRepresentation
bin1100010110010000001…
…1110100101011110101
3202021112212000022020120
43011210003310223311
511433421310340313
6241241355322153
721216555165066
oct3054403645365
9667485008216
10212132121333
1181a68063560
1235142750359
1317008962bb2
14a3a549256d
1557b85e1d23
hex31640f4af5

212132121333 has 16 divisors (see below), whose sum is σ = 311610825792. Its totient is φ = 127292000000.

The previous prime is 212132121317. The next prime is 212132121469. The reversal of 212132121333 is 333121231212.

212132121333 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 212132121333 - 24 = 212132121317 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212132101333) 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 15 ways as a sum of consecutive naturals, for example, 31819668 + ... + 31826333.

It is an arithmetic number, because the mean of its divisors is an integer number (19475676612).

Almost surely, 2212132121333 is an apocalyptic number.

It is an amenable number.

212132121333 is a deficient number, since it is larger than the sum of its proper divisors (99478704459).

212132121333 is a wasteful number, since it uses less digits than its factorization.

212132121333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63646116.

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

Adding to 212132121333 its reverse (333121231212), we get a palindrome (545253352545).

The spelling of 212132121333 in words is "two hundred twelve billion, one hundred thirty-two million, one hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 11 33 101 303 1111 3333 63646001 190938003 700106011 2100318033 6428246101 19284738303 70710707111 212132121333