Search a number
-
+
233231133033 = 3283312223739
BaseRepresentation
bin1101100100110110101…
…0001010100101101001
3211022000021112011010100
43121031222022211221
512310124132224113
6255051144340013
722564453630533
oct3311552124551
9738007464110
10233231133033
118aa04992308
1239250774609
1318cbbc336c2
14b4076da853
156100a9ad73
hex364da8a969

233231133033 has 12 divisors (see below), whose sum is σ = 340948324080. Its totient is φ = 153614079096.

The previous prime is 233231133019. The next prime is 233231133071. The reversal of 233231133033 is 330331132332.

233231133033 is a `hidden beast` number, since 2 + 3 + 323 + 1 + 1 + 330 + 3 + 3 = 666.

233231133033 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 233231133033 - 25 = 233231133001 is a prime.

It is a super-2 number, since 2×2332311330332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233231132988 and 233231133006.

It is not an unprimeable number, because it can be changed into a prime (233231133133) 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, 156111123 + ... + 156112616.

It is an arithmetic number, because the mean of its divisors is an integer number (28412360340).

Almost surely, 2233231133033 is an apocalyptic number.

It is an amenable number.

233231133033 is a deficient number, since it is larger than the sum of its proper divisors (107717191047).

233231133033 is a wasteful number, since it uses less digits than its factorization.

233231133033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312223828 (or 312223825 counting only the distinct ones).

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

Adding to 233231133033 its reverse (330331132332), we get a palindrome (563562265365).

The spelling of 233231133033 in words is "two hundred thirty-three billion, two hundred thirty-one million, one hundred thirty-three thousand, thirty-three".

Divisors: 1 3 9 83 249 747 312223739 936671217 2810013651 25914570337 77743711011 233231133033