Search a number
-
+
233332020102033 = 3254124947899913
BaseRepresentation
bin110101000011011011011000…
…001011000100001110010001
31010121011022201122222211122200
4311003123120023010032101
5221040402434121231113
62144131130015153413
7100101452655406566
oct6503333013041621
91117138648884580
10233332020102033
116838a610437a16
1222205385515869
13a027165ab6a58
14418948986286d
151be977bdc8873
hexd436d82c4391

233332020102033 has 12 divisors (see below), whose sum is σ = 337035769882500. Its totient is φ = 155554389421056.

The previous prime is 233332020101951. The next prime is 233332020102059. The reversal of 233332020102033 is 330201020233332.

233332020102033 is a `hidden beast` number, since 2 + 333 + 320 + 2 + 0 + 1 + 0 + 2 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137839410693009 + 95492609409024 = 11740503^2 + 9772032^2 .

It is not a de Polignac number, because 233332020102033 - 213 = 233332020093841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233332020101988 and 233332020102006.

It is not an unprimeable number, because it can be changed into a prime (233332020102073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19078716 + ... + 28821197.

It is an arithmetic number, because the mean of its divisors is an integer number (28086314156875).

Almost surely, 2233332020102033 is an apocalyptic number.

It is an amenable number.

233332020102033 is a deficient number, since it is larger than the sum of its proper divisors (103703749780467).

233332020102033 is a wasteful number, since it uses less digits than its factorization.

233332020102033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48441168 (or 48441165 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 233332020102033 its reverse (330201020233332), we get a palindrome (563533040335365).

The spelling of 233332020102033 in words is "two hundred thirty-three trillion, three hundred thirty-two billion, twenty million, one hundred two thousand, thirty-three".

Divisors: 1 3 9 541249 1623747 4871241 47899913 143699739 431099217 25925780011337 77777340034011 233332020102033