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2213132133042 = 232799765324571
BaseRepresentation
bin100000001101001000111…
…101000110001010110010
321211120110222120000101100
4200031020331012022302
5242224443311224132
64412410542145230
7315615322513155
oct40151075061262
97746428500340
102213132133042
117836474359a6
122b8b05582216
1313090b43986c
147918aa93c9c
153c87e2a437c
hex20348f462b2

2213132133042 has 96 divisors (see below), whose sum is σ = 4913590106880. Its totient is φ = 719730385920.

The previous prime is 2213132133019. The next prime is 2213132133049. The reversal of 2213132133042 is 2403312313122.

2213132133042 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 321 + 330 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2213132132997 and 2213132133015.

It is not an unprimeable number, because it can be changed into a prime (2213132133049) 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 47 ways as a sum of consecutive naturals, for example, 90058617 + ... + 90083187.

It is an arithmetic number, because the mean of its divisors is an integer number (51183230280).

Almost surely, 22213132133042 is an apocalyptic number.

2213132133042 is an abundant number, since it is smaller than the sum of its proper divisors (2700457973838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2213132133042 is a wasteful number, since it uses less digits than its factorization.

2213132133042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25408 (or 25405 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2213132133042 its reverse (2403312313122), we get a palindrome (4616444446164).

The spelling of 2213132133042 in words is "two trillion, two hundred thirteen billion, one hundred thirty-two million, one hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 79 97 158 194 237 291 474 582 653 711 873 1306 1422 1746 1959 3918 5877 7663 11754 15326 22989 24571 45978 49142 51587 63341 68967 73713 103174 126682 137934 147426 154761 190023 221139 309522 380046 442278 464283 570069 928566 1140138 1941109 2383387 3882218 4766774 5003939 5823327 7150161 10007878 11646654 14300322 15011817 16044863 17469981 21450483 30023634 32089726 34939962 42900966 45035451 48134589 90070902 96269178 144403767 188287573 288807534 376575146 564862719 1129725438 1267544177 1556351711 1694588157 2535088354 3112703422 3389176314 3802632531 4669055133 7605265062 9338110266 11407897593 14007165399 22815795186 28014330798 122951785169 245903570338 368855355507 737710711014 1106566066521 2213132133042