Search a number
-
+
10032333977 is a prime number
BaseRepresentation
bin10010101011111100…
…10100010010011001
3221220011121101000002
421111332110102121
5131021234141402
64335255422345
7503416301051
oct112576242231
927804541002
1010032333977
114288a9a006
121b3b9849b5
13c3b5cb8c3
146b257c561
153dab48602
hex255f94499

10032333977 has 2 divisors, whose sum is σ = 10032333978. Its totient is φ = 10032333976.

The previous prime is 10032333973. The next prime is 10032333991. The reversal of 10032333977 is 77933323001.

10032333977 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., 9233480281 + 798853696 = 96091^2 + 28264^2 .

It is a cyclic number.

It is not a de Polignac number, because 10032333977 - 22 = 10032333973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10032333977.

It is not a weakly prime, because it can be changed into another prime (10032333973) 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, 5016166988 + 5016166989.

It is an arithmetic number, because the mean of its divisors is an integer number (5016166989).

Almost surely, 210032333977 is an apocalyptic number.

It is an amenable number.

10032333977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032333977 is an equidigital number, since it uses as much as digits as its factorization.

10032333977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 71442, while the sum is 38.

Adding to 10032333977 its reverse (77933323001), we get a palindrome (87965656978).

The spelling of 10032333977 in words is "ten billion, thirty-two million, three hundred thirty-three thousand, nine hundred seventy-seven".