Search a number
-
+
233133223013 is a prime number
BaseRepresentation
bin1101100100011111010…
…0101010110001100101
3211021202110021210211022
43121013310222301211
512304424101114023
6255033330020525
722562154461555
oct3310764526145
9737673253738
10233133223013
118a964699039
1239223a17745
1318ca4872292
14b3d86d1165
1560e71aa7c8
hex3647d2ac65

233133223013 has 2 divisors, whose sum is σ = 233133223014. Its totient is φ = 233133223012.

The previous prime is 233133223009. The next prime is 233133223031. The reversal of 233133223013 is 310322331332.

It is a happy number.

Together with next prime (233133223031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209985730564 + 23147492449 = 458242^2 + 152143^2 .

It is a cyclic number.

It is not a de Polignac number, because 233133223013 - 22 = 233133223009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233133223613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116566611506 + 116566611507.

It is an arithmetic number, because the mean of its divisors is an integer number (116566611507).

Almost surely, 2233133223013 is an apocalyptic number.

It is an amenable number.

233133223013 is a deficient number, since it is larger than the sum of its proper divisors (1).

233133223013 is an equidigital number, since it uses as much as digits as its factorization.

233133223013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 233133223013 its reverse (310322331332), we get a palindrome (543455554345).

The spelling of 233133223013 in words is "two hundred thirty-three billion, one hundred thirty-three million, two hundred twenty-three thousand, thirteen".