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233301332133 = 3337233534867
BaseRepresentation
bin1101100101000111010…
…1111101000010100101
3211022012011121122012000
43121101311331002211
512310300120112013
6255102133115513
722566265413612
oct3312165750245
9738164548160
10233301332133
118aa405799a1
1239270188b99
1319000641a2c
14b412b71509
156106d15973
hex3651d7d0a5

233301332133 has 16 divisors (see below), whose sum is σ = 354972999360. Its totient is φ = 151330593168.

The previous prime is 233301332111. The next prime is 233301332149. The reversal of 233301332133 is 331233103332.

233301332133 is a `hidden beast` number, since 2 + 3 + 3 + 301 + 3 + 321 + 33 = 666.

It is not a de Polignac number, because 233301332133 - 221 = 233299234981 is a prime.

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 = 233301332097 and 233301332106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233301332833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116766435 + ... + 116768432.

It is an arithmetic number, because the mean of its divisors is an integer number (22185812460).

Almost surely, 2233301332133 is an apocalyptic number.

It is an amenable number.

233301332133 is a deficient number, since it is larger than the sum of its proper divisors (121671667227).

233301332133 is a wasteful number, since it uses less digits than its factorization.

233301332133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233534913 (or 233534907 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 233301332133 its reverse (331233103332), we get a palindrome (564534435465).

The spelling of 233301332133 in words is "two hundred thirty-three billion, three hundred one million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 37 111 333 999 233534867 700604601 2101813803 6305441409 8640790079 25922370237 77767110711 233301332133