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212546123343 = 322943187910079
BaseRepresentation
bin1100010111110010111…
…1000111011001001111
3202022121201000210020100
43011330233013121033
511440243301421333
6241350425022143
721233043145041
oct3057457073117
9668551023210
10212546123343
118215a822384
1235239324953
13170736677b8
14a40445da91
1557deb1e213
hex317cbc764f

212546123343 has 48 divisors (see below), whose sum is σ = 325188864000. Its totient is φ = 133545271104.

The previous prime is 212546123299. The next prime is 212546123347. The reversal of 212546123343 is 343321645212.

212546123343 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 4 + 612 + 3 + 34 + 3 = 666.

It is not a de Polignac number, because 212546123343 - 217 = 212545992271 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212546123298 and 212546123307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212546123347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21082978 + ... + 21093056.

It is an arithmetic number, because the mean of its divisors is an integer number (6774768000).

Almost surely, 2212546123343 is an apocalyptic number.

212546123343 is a deficient number, since it is larger than the sum of its proper divisors (112642740657).

212546123343 is a wasteful number, since it uses less digits than its factorization.

212546123343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12036 (or 12033 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 212546123343 its reverse (343321645212), we get a palindrome (555867768555).

The spelling of 212546123343 in words is "two hundred twelve billion, five hundred forty-six million, one hundred twenty-three thousand, three hundred forty-three".

Divisors: 1 3 9 29 43 87 129 261 387 1247 1879 3741 5637 10079 11223 16911 30237 54491 80797 90711 163473 242391 292291 433397 490419 727173 876873 1300191 2343113 2630619 3900573 7029339 12568513 18938441 21088017 37705539 56815323 113116617 170445969 549214789 814352963 1647644367 2443058889 4942933101 7329176667 23616235927 70848707781 212546123343