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212105115352 = 23139511214433
BaseRepresentation
bin1100010110001001110…
…0110011011011011000
3202021110222012021000001
43011202130303123120
511433342402142402
6241234552422344
721216106506334
oct3054234633330
9667428167001
10212105115352
1181a53898569
12351356a79b4
1317003198920
14a3a1a627c4
1557b605a187
hex31627336d8

212105115352 has 32 divisors (see below), whose sum is σ = 428336203680. Its totient is φ = 97883919360.

The previous prime is 212105115331. The next prime is 212105115353. The reversal of 212105115352 is 253511501212.

It is a happy number.

212105115352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212105115352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212105115353) 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 7 ways as a sum of consecutive naturals, for example, 881928 + ... + 1096360.

It is an arithmetic number, because the mean of its divisors is an integer number (13385506365).

Almost surely, 2212105115352 is an apocalyptic number.

It is an amenable number.

212105115352 is an abundant number, since it is smaller than the sum of its proper divisors (216231088328).

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

212105115352 is a wasteful number, since it uses less digits than its factorization.

212105115352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223963 (or 223959 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

Adding to 212105115352 its reverse (253511501212), we get a palindrome (465616616564).

The spelling of 212105115352 in words is "two hundred twelve billion, one hundred five million, one hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 9511 19022 38044 76088 123643 214433 247286 428866 494572 857732 989144 1715464 2787629 5575258 11150516 22301032 2039472263 4078944526 8157889052 16315778104 26513139419 53026278838 106052557676 212105115352