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233231020132332 = 223673149391933163
BaseRepresentation
bin110101000001111101010100…
…000110110000011111101100
31010120210200000210201202212010
4311001331110012300133230
5221032224112123213312
62144012503531241220
7100061246050004535
oct6501752406603754
91116720023652763
10233231020132332
11683507a15a9882
12221a98988a9210
13a01a78b07ab81
144184627aa168c
151be6d19eb693c
hexd41f541b07ec

233231020132332 has 48 divisors (see below), whose sum is σ = 545051104859520. Its totient is φ = 77622918793728.

The previous prime is 233231020132283. The next prime is 233231020132361.

233231020132332 is nontrivially palindromic in base 10.

233231020132332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233231020132332.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119680783 + ... + 121613945.

It is an arithmetic number, because the mean of its divisors is an integer number (11355231351240).

Almost surely, 2233231020132332 is an apocalyptic number.

It is an amenable number.

233231020132332 is an abundant number, since it is smaller than the sum of its proper divisors (311820084727188).

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

233231020132332 is a wasteful number, since it uses less digits than its factorization.

233231020132332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948782 (or 1948780 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

The spelling of 233231020132332 in words is "two hundred thirty-three trillion, two hundred thirty-one billion, twenty million, one hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 673 1346 2019 2692 4038 8076 14939 29878 44817 59756 89634 179268 1933163 3866326 5799489 7732652 10053947 11598978 20107894 23197956 30161841 40215788 60323682 120647364 1301018699 2602037398 3903056097 5204074796 7806112194 15612224388 28879522057 57759044114 86638566171 115518088228 173277132342 346554264684 19435918344361 38871836688722 58307755033083 77743673377444 116615510066166 233231020132332