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212302033320213 = 33174051835313669
BaseRepresentation
bin110000010001011001101011…
…010001111111100100010101
31000211200212122201200120002000
4300101121223101333210111
5210311324031012221323
62031310112505505513
762501213204232024
oct6021315321774425
91024625581616060
10212302033320213
1161711872119a81
121b9896814a2299
13915ccc3b1ca05
143a5d68a7d48bb
1519826e2e13e43
hexc1166b47f915

212302033320213 has 64 divisors (see below), whose sum is σ = 333169255699200. Its totient is φ = 133150550630400.

The previous prime is 212302033320199. The next prime is 212302033320269. The reversal of 212302033320213 is 312023330203212.

212302033320213 is a `hidden beast` number, since 2 + 1 + 2 + 302 + 0 + 3 + 332 + 0 + 21 + 3 = 666.

212302033320213 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 212302033320213 - 26 = 212302033320149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212302033320913) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15531636543 + ... + 15531650211.

It is an arithmetic number, because the mean of its divisors is an integer number (5205769620300).

Almost surely, 2212302033320213 is an apocalyptic number.

It is an amenable number.

212302033320213 is a deficient number, since it is larger than the sum of its proper divisors (120867222378987).

212302033320213 is a wasteful number, since it uses less digits than its factorization.

212302033320213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26099 (or 26093 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 212302033320213 its reverse (312023330203212), we get a palindrome (524325363523425).

The spelling of 212302033320213 in words is "two hundred twelve trillion, three hundred two billion, thirty-three million, three hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 9 17 27 51 153 459 4051 8353 12153 13669 25059 36459 41007 68867 75177 109377 123021 142001 206601 225531 232373 369063 426003 619803 697119 1278009 1859409 2091357 3834027 6274071 33838003 55373119 101514009 114177157 166119357 304542027 342531471 498358071 575246051 913626081 941343023 1027594413 1495074213 1725738153 1941011669 2824029069 3082783239 5177214459 5823035007 8472087207 15531643377 17469105021 25416261621 52407315063 462531663007 1387594989021 4162784967063 7863038271119 12488354901189 23589114813357 70767344440071 212302033320213