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233301332106 = 2334320395039
BaseRepresentation
bin1101100101000111010…
…1111101000010001010
3211022012011121122011000
43121101311331002022
512310300120111411
6255102133115430
722566265413543
oct3312165750212
9738164548130
10233301332106
118aa40579977
1239270188b76
1319000641a0b
14b412b714ca
156106d15956
hex3651d7d08a

233301332106 has 16 divisors (see below), whose sum is σ = 518447404800. Its totient is φ = 77767110684.

The previous prime is 233301332093. The next prime is 233301332111. The reversal of 233301332106 is 601233103332.

It is a happy number.

233301332106 is a `hidden beast` number, since 2 + 3 + 330 + 1 + 3 + 321 + 0 + 6 = 666.

233301332106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 233301332106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2160197466 + ... + 2160197573.

It is an arithmetic number, because the mean of its divisors is an integer number (32402962800).

Almost surely, 2233301332106 is an apocalyptic number.

233301332106 is an abundant number, since it is smaller than the sum of its proper divisors (285146072694).

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

233301332106 is a wasteful number, since it uses less digits than its factorization.

233301332106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320395050 (or 4320395044 counting only the distinct ones).

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

Adding to 233301332106 its reverse (601233103332), we get a palindrome (834534435438).

The spelling of 233301332106 in words is "two hundred thirty-three billion, three hundred one million, three hundred thirty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 4320395039 8640790078 12961185117 25922370234 38883555351 77767110702 116650666053 233301332106