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218122134245 = 5292311916631
BaseRepresentation
bin1100101100100100010…
…1111010001011100101
3202212000022021111012122
43023021011322023211
512033203231243440
6244112014155325
721521161356431
oct3131105721345
9685008244178
10218122134245
1184561292954
12363347b2b45
1317751942c32
14a7b2c219c1
155a194057b5
hex32c917a2e5

218122134245 has 24 divisors (see below), whose sum is σ = 271186755840. Its totient is φ = 168416400320.

The previous prime is 218122134227. The next prime is 218122134257. The reversal of 218122134245 is 542431221812.

218122134245 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 218122134245 - 226 = 218055025381 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13107080 + ... + 13123710.

It is an arithmetic number, because the mean of its divisors is an integer number (11299448160).

Almost surely, 2218122134245 is an apocalyptic number.

It is an amenable number.

218122134245 is a deficient number, since it is larger than the sum of its proper divisors (53064621595).

218122134245 is a wasteful number, since it uses less digits than its factorization.

218122134245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19813 (or 19784 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The spelling of 218122134245 in words is "two hundred eighteen billion, one hundred twenty-two million, one hundred thirty-four thousand, two hundred forty-five".

Divisors: 1 5 29 145 841 3119 4205 15595 16631 83155 90451 452255 482299 2411495 2623079 13115395 13986671 51872089 69933355 259360445 1504290581 7521452905 43624426849 218122134245