Search a number
-
+
133002013233222 = 23272150795933371
BaseRepresentation
bin11110001111011011110001…
…110000001101000001000110
3122102220212102222112102000100
4132033123301300031001012
5114413101110341430342
61150512140440024530
740005035606154300
oct3617336160150106
9572825388472010
10133002013233222
1139418923129911
1212b00821162146
13592a061213843
1424bb4905d6970
151059a4a915e4c
hex78f6f1c0d046

133002013233222 has 36 divisors (see below), whose sum is σ = 335219359885956. Its totient is φ = 38000575209240.

The previous prime is 133002013233209. The next prime is 133002013233227. The reversal of 133002013233222 is 222332310200331.

133002013233222 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 201 + 3 + 233 + 222 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133002013233227) 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 17 ways as a sum of consecutive naturals, for example, 75397965804 + ... + 75397967567.

It is an arithmetic number, because the mean of its divisors is an integer number (9311648885721).

Almost surely, 2133002013233222 is an apocalyptic number.

133002013233222 is an abundant number, since it is smaller than the sum of its proper divisors (202217346652734).

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

133002013233222 is a wasteful number, since it uses less digits than its factorization.

133002013233222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150795933393 (or 150795933383 counting only the distinct ones).

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

Adding to 133002013233222 its reverse (222332310200331), we get a palindrome (355334323433553).

The spelling of 133002013233222 in words is "one hundred thirty-three trillion, two billion, thirteen million, two hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 150795933371 301591866742 452387800113 904775600226 1055571533597 1357163400339 2111143067194 2714326800678 3166714600791 6333429201582 7389000735179 9500143802373 14778001470358 19000287604746 22167002205537 44334004411074 66501006616611 133002013233222