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212133323133 = 32295871384619
BaseRepresentation
bin1100010110010000100…
…0011010000101111101
3202021112221021100210200
43011210020122011331
511433422112320013
6241241441154113
721216601331634
oct3054410320575
9667487240720
10212133323133
1181a68804486
123514302b939
1317008c93c14
14a3a56c651b
1557b877ce73
hex316421a17d

212133323133 has 24 divisors (see below), whose sum is σ = 317521058400. Its totient is φ = 136312872864.

The previous prime is 212133323071. The next prime is 212133323159. The reversal of 212133323133 is 331323331212.

212133323133 is a `hidden beast` number, since 2 + 1 + 2 + 13 + 332 + 313 + 3 = 666.

It is not a de Polignac number, because 212133323133 - 26 = 212133323069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212133323097 and 212133323106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133323033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539103 + ... + 845516.

It is an arithmetic number, because the mean of its divisors is an integer number (13230044100).

Almost surely, 2212133323133 is an apocalyptic number.

It is an amenable number.

212133323133 is a deficient number, since it is larger than the sum of its proper divisors (105387735267).

212133323133 is a wasteful number, since it uses less digits than its factorization.

212133323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385241 (or 1385238 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 212133323133 its reverse (331323331212), we get a palindrome (543456654345).

The spelling of 212133323133 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 29 87 261 587 1761 5283 17023 51069 153207 1384619 4153857 12461571 40153951 120461853 361385559 812771353 2438314059 7314942177 23570369237 70711107711 212133323133