Search a number
-
+
233223131191 is a prime number
BaseRepresentation
bin1101100100110100101…
…1101001000000110111
3211021222201110121122211
43121031023221000313
512310120110144231
6255050301034251
722564325622541
oct3311513510067
9737881417584
10233223131191
118aa00417416
1239249b55987
1318cba39149b
14b406616691
156100019eb1
hex364d2e9037

233223131191 has 2 divisors, whose sum is σ = 233223131192. Its totient is φ = 233223131190.

The previous prime is 233223131147. The next prime is 233223131261. The reversal of 233223131191 is 191131322332.

It is a happy number.

233223131191 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233223131191 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233223131101) 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 as a sum of consecutive naturals, namely, 116611565595 + 116611565596.

It is an arithmetic number, because the mean of its divisors is an integer number (116611565596).

Almost surely, 2233223131191 is an apocalyptic number.

233223131191 is a deficient number, since it is larger than the sum of its proper divisors (1).

233223131191 is an equidigital number, since it uses as much as digits as its factorization.

233223131191 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 31.

It can be divided in two parts, 23322 and 3131191, that added together give a palindrome (3154513).

The spelling of 233223131191 in words is "two hundred thirty-three billion, two hundred twenty-three million, one hundred thirty-one thousand, one hundred ninety-one".