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233212000232133 = 341310316071338041
BaseRepresentation
bin110101000001101011100110…
…011011100110001011000101
31010120201211221021102201210000
4311001223212123212023011
5221031421134024412013
62144000040332551513
7100060003525346466
oct6501534633461305
91116654837381700
10233212000232133
116834372134129a
12221a606b022599
13a018a49763560
144183741a26d6d
151be65a52ea973
hexd41ae66e62c5

233212000232133 has 80 divisors (see below), whose sum is σ = 379055266926336. Its totient is φ = 142033181495040.

The previous prime is 233212000232033. The next prime is 233212000232209. The reversal of 233212000232133 is 331232000212332.

233212000232133 is a `hidden beast` number, since 2 + 3 + 321 + 200 + 0 + 2 + 3 + 2 + 133 = 666.

233212000232133 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 233212000232133 - 210 = 233212000231109 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 = 233212000232097 and 233212000232106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233212000232033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 173624593 + ... + 174962633.

Almost surely, 2233212000232133 is an apocalyptic number.

It is an amenable number.

233212000232133 is a deficient number, since it is larger than the sum of its proper divisors (145843266694203).

233212000232133 is a wasteful number, since it uses less digits than its factorization.

233212000232133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339776 (or 1339767 counting only the distinct ones).

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

Adding to 233212000232133 its reverse (331232000212332), we get a palindrome (564444000444465).

The spelling of 233212000232133 in words is "two hundred thirty-three trillion, two hundred twelve billion, two hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 103 117 309 351 927 1053 1339 1607 2781 4017 4821 8343 12051 14463 20891 36153 43389 62673 108459 130167 165521 188019 496563 564057 1338041 1489689 1692171 2151773 4014123 4469067 6455319 12042369 13407201 17394533 19365957 36127107 52183599 58097871 108381321 137818223 156550797 174293613 413454669 469652391 1240364007 1408957173 1791636899 2150231887 3721092021 5374910697 6450695661 11163276063 16124732091 19352086983 27953014531 48374196273 58056260949 83859043593 145122588819 174168782847 221473884361 251577130779 664421653083 754731392337 1993264959249 2264194177011 2879160496693 5979794877747 8637481490079 17939384633241 25912444470237 77737333410711 233212000232133