Search a number
-
+
31513144523033 is a prime number
BaseRepresentation
bin1110010101001001110011…
…10010001111100100011001
311010120121221020001212000002
413022210321302033210121
513112302404444214113
6151004534433422345
76431515045541315
oct712447162174431
9133517836055002
1031513144523033
11a04a7165a0118
12364b56040a9b5
1314778a4b59524
147ad35c642b45
15399ae1121c58
hex1ca939c8f919

31513144523033 has 2 divisors, whose sum is σ = 31513144523034. Its totient is φ = 31513144523032.

The previous prime is 31513144522949. The next prime is 31513144523141. The reversal of 31513144523033 is 33032544131513.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30123544434064 + 1389600088969 = 5488492^2 + 1178813^2 .

It is a cyclic number.

It is not a de Polignac number, because 31513144523033 - 216 = 31513144457497 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (31513144523933) 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, 15756572261516 + 15756572261517.

It is an arithmetic number, because the mean of its divisors is an integer number (15756572261517).

Almost surely, 231513144523033 is an apocalyptic number.

It is an amenable number.

31513144523033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31513144523033 is an equidigital number, since it uses as much as digits as its factorization.

31513144523033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 38.

Adding to 31513144523033 its reverse (33032544131513), we get a palindrome (64545688654546).

The spelling of 31513144523033 in words is "thirty-one trillion, five hundred thirteen billion, one hundred forty-four million, five hundred twenty-three thousand, thirty-three".