Search a number
-
+
973131131353 is a prime number
BaseRepresentation
bin11100010100100110010…
…00101010100111011001
310110000211011220110211211
432022103020222213121
5111420433032200403
62023014505223121
7130210045065013
oct16122310524731
93400734813754
10973131131353
11345780177227
12138723791aa1
13709c580b6b4
1435157bbb1b3
151a4a798506d
hexe29322a9d9

973131131353 has 2 divisors, whose sum is σ = 973131131354. Its totient is φ = 973131131352.

The previous prime is 973131131333. The next prime is 973131131437. The reversal of 973131131353 is 353131131379.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 733331897104 + 239799234249 = 856348^2 + 489693^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-973131131353 is a prime.

It is a super-2 number, since 2×9731311313532 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (973131131333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486565565676 + 486565565677.

It is an arithmetic number, because the mean of its divisors is an integer number (486565565677).

Almost surely, 2973131131353 is an apocalyptic number.

It is an amenable number.

973131131353 is a deficient number, since it is larger than the sum of its proper divisors (1).

973131131353 is an equidigital number, since it uses as much as digits as its factorization.

973131131353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 76545, while the sum is 40.

The spelling of 973131131353 in words is "nine hundred seventy-three billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred fifty-three".