Search a number
-
+
1012232032289 is a prime number
BaseRepresentation
bin11101011101011011011…
…10110001000000100001
310120202202012011001021222
432232231232301000201
5113041022400013124
62053002445224425
7133063024211522
oct16565556610041
93522665131258
101012232032289
11360315658895
12144216562115
13745b752167a
1436dc6bc4849
151b4e556c25e
hexebadbb1021

1012232032289 has 2 divisors, whose sum is σ = 1012232032290. Its totient is φ = 1012232032288.

The previous prime is 1012232032249. The next prime is 1012232032319. The reversal of 1012232032289 is 9822302322101.

1012232032289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1005172671889 + 7059360400 = 1002583^2 + 84020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1012232032289 is a prime.

It is a super-2 number, since 2×10122320322892 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1012232032249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506116016144 + 506116016145.

It is an arithmetic number, because the mean of its divisors is an integer number (506116016145).

Almost surely, 21012232032289 is an apocalyptic number.

It is an amenable number.

1012232032289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012232032289 is an equidigital number, since it uses as much as digits as its factorization.

1012232032289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 1012232032289 in words is "one trillion, twelve billion, two hundred thirty-two million, thirty-two thousand, two hundred eighty-nine".