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233121110121 = 3285330366173
BaseRepresentation
bin1101100100011100011…
…0011101100001101001
3211021201121111102001200
43121013012131201221
512304413001010441
6255032214234413
722561646512164
oct3310706354151
9737647442050
10233121110121
118a958875489
123921b955a09
1318ca21c0aa3
14b3d6c5aadb
1560e60b67b6
hex364719d869

233121110121 has 12 divisors (see below), whose sum is σ = 337125263748. Its totient is φ = 155231871264.

The previous prime is 233121110111. The next prime is 233121110179. The reversal of 233121110121 is 121011121332.

233121110121 is a `hidden beast` number, since 2 + 331 + 211 + 1 + 0 + 121 = 666.

233121110121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31982314896 + 201138795225 = 178836^2 + 448485^2 .

It is not a de Polignac number, because 233121110121 - 29 = 233121109609 is a prime.

It is a super-4 number, since 4×2331211101214 (a number of 47 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 233121110094 and 233121110103.

It is not an unprimeable number, because it can be changed into a prime (233121110111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15175410 + ... + 15190763.

It is an arithmetic number, because the mean of its divisors is an integer number (28093771979).

Almost surely, 2233121110121 is an apocalyptic number.

It is an amenable number.

233121110121 is a deficient number, since it is larger than the sum of its proper divisors (104004153627).

233121110121 is a wasteful number, since it uses less digits than its factorization.

233121110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30367032 (or 30367029 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 233121110121 its reverse (121011121332), we get a palindrome (354132231453).

The spelling of 233121110121 in words is "two hundred thirty-three billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 9 853 2559 7677 30366173 91098519 273295557 25902345569 77707036707 233121110121