Search a number
-
+
233914479121 is a prime number
BaseRepresentation
bin1101100111011001100…
…0111011001000010001
3211100202220100201201201
43121312120323020101
512313024101312441
6255243035031201
722620422160301
oct3316630731021
9740686321651
10233914479121
1190225697344
123940159b501
131909a6916bb
14b47037b601
156140a7dc31
hex367663b211

233914479121 has 2 divisors, whose sum is σ = 233914479122. Its totient is φ = 233914479120.

The previous prime is 233914479091. The next prime is 233914479133. The reversal of 233914479121 is 121974419332.

233914479121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232762827025 + 1151652096 = 482455^2 + 33936^2 .

It is a cyclic number.

It is not a de Polignac number, because 233914479121 - 217 = 233914348049 is a prime.

It is not a weakly prime, because it can be changed into another prime (233914479221) 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, 116957239560 + 116957239561.

It is an arithmetic number, because the mean of its divisors is an integer number (116957239561).

Almost surely, 2233914479121 is an apocalyptic number.

It is an amenable number.

233914479121 is a deficient number, since it is larger than the sum of its proper divisors (1).

233914479121 is an equidigital number, since it uses as much as digits as its factorization.

233914479121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 326592, while the sum is 46.

The spelling of 233914479121 in words is "two hundred thirty-three billion, nine hundred fourteen million, four hundred seventy-nine thousand, one hundred twenty-one".