Search a number
-
+
31033930528033 is a prime number
BaseRepresentation
bin1110000111001101001100…
…11001111011010100100001
311001212210222222101121011121
413003212212121323110201
513031424442203344113
6150000442454412241
76352061505023416
oct703464631732441
9131783888347147
1031033930528033
119985463803954
123592700661081
1314416441a91c4
1479409bc6a10d
1538c3e5269e8d
hex1c39a667b521

31033930528033 has 2 divisors, whose sum is σ = 31033930528034. Its totient is φ = 31033930528032.

The previous prime is 31033930527947. The next prime is 31033930528039. The reversal of 31033930528033 is 33082503933013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26831643725329 + 4202286802704 = 5179927^2 + 2049948^2 .

It is a cyclic number.

It is not a de Polignac number, because 31033930528033 - 29 = 31033930527521 is a prime.

It is not a weakly prime, because it can be changed into another prime (31033930528039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15516965264016 + 15516965264017.

It is an arithmetic number, because the mean of its divisors is an integer number (15516965264017).

Almost surely, 231033930528033 is an apocalyptic number.

It is an amenable number.

31033930528033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31033930528033 is an equidigital number, since it uses as much as digits as its factorization.

31033930528033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 524880, while the sum is 43.

The spelling of 31033930528033 in words is "thirty-one trillion, thirty-three billion, nine hundred thirty million, five hundred twenty-eight thousand, thirty-three".