Search a number
-
+
232005354301081 is a prime number
BaseRepresentation
bin110100110000000111110100…
…101110101010011010011001
31010102110111101001020100022001
4310300013310232222122121
5220402133431200113311
62141233442143001001
766603555650226244
oct6460076456523231
91112414331210261
10232005354301081
1167a18a111548a9
1222030237899161
139c5c01b321b8a
1441411949cc25b
151bc4ed1e354c1
hexd301f4baa699

232005354301081 has 2 divisors, whose sum is σ = 232005354301082. Its totient is φ = 232005354301080.

The previous prime is 232005354301079. The next prime is 232005354301087. The reversal of 232005354301081 is 180103453500232.

It is a happy number.

232005354301081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226003265894025 + 6002088407056 = 15033405^2 + 2449916^2 .

It is a cyclic number.

It is not a de Polignac number, because 232005354301081 - 21 = 232005354301079 is a prime.

It is a super-2 number, since 2×2320053543010812 (a number of 30 digits) contains 22 as substring.

Together with 232005354301079, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 232005354301081.

It is not a weakly prime, because it can be changed into another prime (232005354301087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116002677150540 + 116002677150541.

It is an arithmetic number, because the mean of its divisors is an integer number (116002677150541).

Almost surely, 2232005354301081 is an apocalyptic number.

It is an amenable number.

232005354301081 is a deficient number, since it is larger than the sum of its proper divisors (1).

232005354301081 is an equidigital number, since it uses as much as digits as its factorization.

232005354301081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 232005354301081 in words is "two hundred thirty-two trillion, five billion, three hundred fifty-four million, three hundred one thousand, eighty-one".