Search a number
-
+
31223013233 is a prime number
BaseRepresentation
bin11101000101000010…
…010101111101110001
32222120222121102010112
4131011002111331301
51002421042410413
622202121311105
72153510143046
oct350502257561
988528542115
1031223013233
1112272638a75
126074635495
132c37886379
141722a491cd
15c2b1ad2a8
hex745095f71

31223013233 has 2 divisors, whose sum is σ = 31223013234. Its totient is φ = 31223013232.

The previous prime is 31223013223. The next prime is 31223013271. The reversal of 31223013233 is 33231032213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19604760289 + 11618252944 = 140017^2 + 107788^2 .

It is an emirp because it is prime and its reverse (33231032213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31223013233 - 230 = 30149271409 is a prime.

It is a super-2 number, since 2×312230132332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31223013199 and 31223013208.

It is not a weakly prime, because it can be changed into another prime (31223013223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15611506616 + 15611506617.

It is an arithmetic number, because the mean of its divisors is an integer number (15611506617).

Almost surely, 231223013233 is an apocalyptic number.

It is an amenable number.

31223013233 is a deficient number, since it is larger than the sum of its proper divisors (1).

31223013233 is an equidigital number, since it uses as much as digits as its factorization.

31223013233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 31223013233 its reverse (33231032213), we get a palindrome (64454045446).

The spelling of 31223013233 in words is "thirty-one billion, two hundred twenty-three million, thirteen thousand, two hundred thirty-three".