Search a number
-
+
36246202313 is a prime number
BaseRepresentation
bin100001110000011100…
…010010011111001001
310110120001121212010112
4201300130102133021
51043213011433223
624352401524105
72422133431136
oct416034223711
9113501555115
1036246202313
1114410044302
127036943635
133558473ab9
141a7bc2558d
15e22195778
hex8707127c9

36246202313 has 2 divisors, whose sum is σ = 36246202314. Its totient is φ = 36246202312.

The previous prime is 36246202309. The next prime is 36246202319. The reversal of 36246202313 is 31320264263.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26403975049 + 9842227264 = 162493^2 + 99208^2 .

It is an emirp because it is prime and its reverse (31320264263) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36246202313 - 22 = 36246202309 is a prime.

It is a super-2 number, since 2×362462023132 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36246202313.

It is not a weakly prime, because it can be changed into another prime (36246202319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18123101156 + 18123101157.

It is an arithmetic number, because the mean of its divisors is an integer number (18123101157).

Almost surely, 236246202313 is an apocalyptic number.

It is an amenable number.

36246202313 is a deficient number, since it is larger than the sum of its proper divisors (1).

36246202313 is an equidigital number, since it uses as much as digits as its factorization.

36246202313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 36246202313 its reverse (31320264263), we get a palindrome (67566466576).

The spelling of 36246202313 in words is "thirty-six billion, two hundred forty-six million, two hundred two thousand, three hundred thirteen".