Search a number
-
+
233313013001 is a prime number
BaseRepresentation
bin1101100101001010001…
…0100000110100001001
3211022012222121002022202
43121102202200310021
512310311112404001
6255103231325545
722566466613615
oct3312242406411
9738188532282
10233313013001
118aa47127a02
12392740808b5
1319002ba16a3
14b414532345
156107d7196b
hex36528a0d09

233313013001 has 2 divisors, whose sum is σ = 233313013002. Its totient is φ = 233313013000.

The previous prime is 233313012991. The next prime is 233313013007. The reversal of 233313013001 is 100310313332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134084862976 + 99228150025 = 366176^2 + 315005^2 .

It is a cyclic number.

It is not a de Polignac number, because 233313013001 - 222 = 233308818697 is a prime.

It is not a weakly prime, because it can be changed into another prime (233313013007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116656506500 + 116656506501.

It is an arithmetic number, because the mean of its divisors is an integer number (116656506501).

Almost surely, 2233313013001 is an apocalyptic number.

It is an amenable number.

233313013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

233313013001 is an equidigital number, since it uses as much as digits as its factorization.

233313013001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 233313013001 its reverse (100310313332), we get a palindrome (333623326333).

The spelling of 233313013001 in words is "two hundred thirty-three billion, three hundred thirteen million, thirteen thousand, one".