Search a number
-
+
233111311253 is a prime number
BaseRepresentation
bin1101100100011010000…
…1000101001110010101
3211021200221001120112122
43121012201011032111
512304402443430003
6255031224225325
722561500311102
oct3310641051625
9737627046478
10233111311253
118a953292447
123921860b245
1318ca016c942
14b3d5829aa9
1560e52cd238
hex3646845395

233111311253 has 2 divisors, whose sum is σ = 233111311254. Its totient is φ = 233111311252.

The previous prime is 233111311151. The next prime is 233111311259. The reversal of 233111311253 is 352113111332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185590363204 + 47520948049 = 430802^2 + 217993^2 .

It is a cyclic number.

It is not a de Polignac number, because 233111311253 - 218 = 233111049109 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233111311259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116555655626 + 116555655627.

It is an arithmetic number, because the mean of its divisors is an integer number (116555655627).

Almost surely, 2233111311253 is an apocalyptic number.

It is an amenable number.

233111311253 is a deficient number, since it is larger than the sum of its proper divisors (1).

233111311253 is an equidigital number, since it uses as much as digits as its factorization.

233111311253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1620, while the sum is 26.

Adding to 233111311253 its reverse (352113111332), we get a palindrome (585224422585).

The spelling of 233111311253 in words is "two hundred thirty-three billion, one hundred eleven million, three hundred eleven thousand, two hundred fifty-three".