Search a number
-
+
31300311323033 is a prime number
BaseRepresentation
bin1110001110111101010111…
…11100000001000110011001
311002211021120111212001121222
413013132223330001012121
513100311014144314113
6150323055311341425
76410241615310124
oct707365374010631
9132737514761558
1031300311323033
119a78429820905
123616262b21875
1314607b6b9a2ac
147a2d2c0153bb
153942d61e7e08
hex1c77abf01199

31300311323033 has 2 divisors, whose sum is σ = 31300311323034. Its totient is φ = 31300311323032.

The previous prime is 31300311322999. The next prime is 31300311323093. The reversal of 31300311323033 is 33032311300313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19521083283289 + 11779228039744 = 4418267^2 + 3432088^2 .

It is a cyclic number.

It is not a de Polignac number, because 31300311323033 - 236 = 31231591846297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31300311322993 and 31300311323011.

It is not a weakly prime, because it can be changed into another prime (31300311323093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15650155661516 + 15650155661517.

It is an arithmetic number, because the mean of its divisors is an integer number (15650155661517).

Almost surely, 231300311323033 is an apocalyptic number.

It is an amenable number.

31300311323033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31300311323033 is an equidigital number, since it uses as much as digits as its factorization.

31300311323033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 31300311323033 its reverse (33032311300313), we get a palindrome (64332622623346).

The spelling of 31300311323033 in words is "thirty-one trillion, three hundred billion, three hundred eleven million, three hundred twenty-three thousand, thirty-three".