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233120033110233 = 3361293147482837
BaseRepresentation
bin110101000000010101111100…
…110000110111100011011001
31010120102001112221001212201000
4311000111330300313203121
5221023414311434011413
62143445510442215213
7100050236511614613
oct6500257460674331
91116361487055630
10233120033110233
116830871829a425
12221902834b4509
13a010181238c29
14417d0d978bdb3
151be3ec1403073
hexd4057cc378d9

233120033110233 has 32 divisors (see below), whose sum is σ = 351026625179520. Its totient is φ = 152864757420480.

The previous prime is 233120033110199. The next prime is 233120033110253. The reversal of 233120033110233 is 332011330021332.

233120033110233 is a `hidden beast` number, since 2 + 3 + 312 + 0 + 0 + 3 + 3 + 110 + 233 = 666.

233120033110233 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 233120033110233 - 226 = 233119966001369 is a prime.

It is a super-2 number, since 2×2331200331102332 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 233120033110197 and 233120033110206.

It is not an unprimeable number, because it can be changed into a prime (233120033110253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482571691 + ... + 483054527.

It is an arithmetic number, because the mean of its divisors is an integer number (10969582036860).

Almost surely, 2233120033110233 is an apocalyptic number.

It is an amenable number.

233120033110233 is a deficient number, since it is larger than the sum of its proper divisors (117906592069287).

233120033110233 is a wasteful number, since it uses less digits than its factorization.

233120033110233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776054 (or 776048 counting only the distinct ones).

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

Adding to 233120033110233 its reverse (332011330021332), we get a palindrome (565131363131565).

The spelling of 233120033110233 in words is "two hundred thirty-three trillion, one hundred twenty billion, thirty-three million, one hundred ten thousand, two hundred thirty-three".

Divisors: 1 3 9 27 61 183 549 1647 293147 482837 879441 1448511 2638323 4345533 7914969 13036599 17881967 29453057 53645901 88359171 160937703 265077513 482813109 795232539 141542218039 424626654117 1273879962351 3821639887053 8634075300379 25902225901137 77706677703411 233120033110233