Search a number
-
+
1032233010013 is a prime number
BaseRepresentation
bin11110000010101011110…
…00011100001101011101
310122200101002111222201201
433001111320130031131
5113403003122310023
62110111251435501
7134401460550112
oct17012570341535
93580332458651
101032233010013
11368849695447
121480788b5b91
137645417c32a
1437d63282909
151bcb642cbad
hexf055e1c35d

1032233010013 has 2 divisors, whose sum is σ = 1032233010014. Its totient is φ = 1032233010012.

The previous prime is 1032233009959. The next prime is 1032233010041. The reversal of 1032233010013 is 3100103322301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 880598313604 + 151634696409 = 938402^2 + 389403^2 .

It is an emirp because it is prime and its reverse (3100103322301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1032233010013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1032233013013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516116505006 + 516116505007.

It is an arithmetic number, because the mean of its divisors is an integer number (516116505007).

Almost surely, 21032233010013 is an apocalyptic number.

It is an amenable number.

1032233010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032233010013 is an equidigital number, since it uses as much as digits as its factorization.

1032233010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1032233010013 its reverse (3100103322301), we get a palindrome (4132336332314).

The spelling of 1032233010013 in words is "one trillion, thirty-two billion, two hundred thirty-three million, ten thousand, thirteen".