Search a number
-
+
31356238033 is a prime number
BaseRepresentation
bin11101001100111110…
…100011100011010001
32222221021021221012101
4131030332203203101
51003204144104113
622223241000401
72160015424411
oct351476434321
988837257171
1031356238033
111233086280a
1260b1183101
132c59360903
141736608641
15c37c272dd
hex74cfa38d1

31356238033 has 2 divisors, whose sum is σ = 31356238034. Its totient is φ = 31356238032.

The previous prime is 31356238027. The next prime is 31356238091. The reversal of 31356238033 is 33083265313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27590206609 + 3766031424 = 166103^2 + 61368^2 .

It is a cyclic number.

It is not a de Polignac number, because 31356238033 - 213 = 31356229841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31356237983 and 31356238001.

It is not a weakly prime, because it can be changed into another prime (31356238733) 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, 15678119016 + 15678119017.

It is an arithmetic number, because the mean of its divisors is an integer number (15678119017).

Almost surely, 231356238033 is an apocalyptic number.

It is an amenable number.

31356238033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31356238033 is an equidigital number, since it uses as much as digits as its factorization.

31356238033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 37.

The spelling of 31356238033 in words is "thirty-one billion, three hundred fifty-six million, two hundred thirty-eight thousand, thirty-three".