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212323331133 = 3429372442941
BaseRepresentation
bin1100010110111101110…
…1001110110000111101
3202022001011210202210000
43011233131032300331
511434314233044013
6241312345504513
721224366352054
oct3055735166075
9668034722700
10212323331133
1182055a92291
12351967a2139
13170394601a4
14a3c2a2739b
1557ca2b1973
hex316f74ec3d

212323331133 has 40 divisors (see below), whose sum is σ = 336979419480. Its totient is φ = 132974110080.

The previous prime is 212323331069. The next prime is 212323331161. The reversal of 212323331133 is 331133323212.

212323331133 is a `hidden beast` number, since 2 + 1 + 2 + 323 + 331 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43909945209 + 168413385924 = 209547^2 + 410382^2 .

It is not a de Polignac number, because 212323331133 - 26 = 212323331069 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212323331097 and 212323331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212323338133) 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 39 ways as a sum of consecutive naturals, for example, 1134558 + ... + 1308383.

It is an arithmetic number, because the mean of its divisors is an integer number (8424485487).

Almost surely, 2212323331133 is an apocalyptic number.

It is an amenable number.

212323331133 is a deficient number, since it is larger than the sum of its proper divisors (124656088347).

212323331133 is a wasteful number, since it uses less digits than its factorization.

212323331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443019 (or 2443010 counting only the distinct ones).

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

Adding to 212323331133 its reverse (331133323212), we get a palindrome (543456654345).

The spelling of 212323331133 in words is "two hundred twelve billion, three hundred twenty-three million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 27 29 37 81 87 111 261 333 783 999 1073 2349 2997 3219 9657 28971 86913 2442941 7328823 21986469 65959407 70845289 90388817 197878221 212535867 271166451 637607601 813499353 1912822803 2440498059 2621275693 5738468409 7321494177 7863827079 23591481237 70774443711 212323331133