Search a number
-
+
233313400993 is a prime number
BaseRepresentation
bin1101100101001010001…
…1111111100010100001
3211022020000022210112211
43121102203333202201
512310311212312433
6255103243522121
722566503121031
oct3312243774241
9738200283484
10233313400993
118aa47372462
1239274229341
1319002ca917a
14b4145d38c1
156107deb8cd
hex36528ff8a1

233313400993 has 2 divisors, whose sum is σ = 233313400994. Its totient is φ = 233313400992.

The previous prime is 233313400987. The next prime is 233313401029. The reversal of 233313400993 is 399004313332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175671633424 + 57641767569 = 419132^2 + 240087^2 .

It is a cyclic number.

It is not a de Polignac number, because 233313400993 - 25 = 233313400961 is a prime.

It is not a weakly prime, because it can be changed into another prime (233313400933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116656700496 + 116656700497.

It is an arithmetic number, because the mean of its divisors is an integer number (116656700497).

Almost surely, 2233313400993 is an apocalyptic number.

It is an amenable number.

233313400993 is a deficient number, since it is larger than the sum of its proper divisors (1).

233313400993 is an equidigital number, since it uses as much as digits as its factorization.

233313400993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 157464, while the sum is 40.

The spelling of 233313400993 in words is "two hundred thirty-three billion, three hundred thirteen million, four hundred thousand, nine hundred ninety-three".