Search a number
-
+
233233011073 is a prime number
BaseRepresentation
bin1101100100110111000…
…1010101000110000001
3211022000102001120022101
43121031301111012001
512310130122323243
6255051252510401
722564505612056
oct3311561250601
9738012046271
10233233011073
118aa05a55307
123925131b401
1318cbc44047a
14b407a6902d
156100d1c54d
hex364dc55181

233233011073 has 2 divisors, whose sum is σ = 233233011074. Its totient is φ = 233233011072.

The previous prime is 233233010993. The next prime is 233233011139. The reversal of 233233011073 is 370110332332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229332758769 + 3900252304 = 478887^2 + 62452^2 .

It is a cyclic number.

It is not a de Polignac number, because 233233011073 - 229 = 232696140161 is a prime.

It is a super-2 number, since 2×2332330110732 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (233233012073) 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, 116616505536 + 116616505537.

It is an arithmetic number, because the mean of its divisors is an integer number (116616505537).

Almost surely, 2233233011073 is an apocalyptic number.

It is an amenable number.

233233011073 is a deficient number, since it is larger than the sum of its proper divisors (1).

233233011073 is an equidigital number, since it uses as much as digits as its factorization.

233233011073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 28.

The spelling of 233233011073 in words is "two hundred thirty-three billion, two hundred thirty-three million, eleven thousand, seventy-three".