Search a number
-
+
31212102212033 is a prime number
BaseRepresentation
bin1110001100011001000100…
…10000111101100111000001
311002111211220001211221100212
413012030202100331213001
513042334341131241113
6150214350344123505
76400666663243241
oct706144220754701
9132454801757325
1031212102212033
119a43a84001176
123601145a66595
13145539a0c8062
1479c960cdbb21
15391d721c50a8
hex1c632243d9c1

31212102212033 has 2 divisors, whose sum is σ = 31212102212034. Its totient is φ = 31212102212032.

The previous prime is 31212102211931. The next prime is 31212102212051. The reversal of 31212102212033 is 33021220121213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23277469556929 + 7934632655104 = 4824673^2 + 2816848^2 .

It is a cyclic number.

It is not a de Polignac number, because 31212102212033 - 228 = 31211833776577 is a prime.

It is not a weakly prime, because it can be changed into another prime (31212102212633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15606051106016 + 15606051106017.

It is an arithmetic number, because the mean of its divisors is an integer number (15606051106017).

Almost surely, 231212102212033 is an apocalyptic number.

It is an amenable number.

31212102212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31212102212033 is an equidigital number, since it uses as much as digits as its factorization.

31212102212033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 31212102212033 its reverse (33021220121213), we get a palindrome (64233322333246).

The spelling of 31212102212033 in words is "thirty-one trillion, two hundred twelve billion, one hundred two million, two hundred twelve thousand, thirty-three".