Search a number
-
+
36301121413 is a prime number
BaseRepresentation
bin100001110011101101…
…110010011110000101
310110200212222000222021
4201303231302132011
51043321041341123
624402043003141
72423401304134
oct416355623605
9113625860867
1036301121413
1114439044897
1270512094b1
1335669621cb
141a8523d91b
15e26de2c5d
hex873b72785

36301121413 has 2 divisors, whose sum is σ = 36301121414. Its totient is φ = 36301121412.

The previous prime is 36301121401. The next prime is 36301121443. The reversal of 36301121413 is 31412110363.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22437942849 + 13863178564 = 149793^2 + 117742^2 .

It is a cyclic number.

It is not a de Polignac number, because 36301121413 - 221 = 36299024261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36301121443) 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, 18150560706 + 18150560707.

It is an arithmetic number, because the mean of its divisors is an integer number (18150560707).

Almost surely, 236301121413 is an apocalyptic number.

It is an amenable number.

36301121413 is a deficient number, since it is larger than the sum of its proper divisors (1).

36301121413 is an equidigital number, since it uses as much as digits as its factorization.

36301121413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 36301121413 its reverse (31412110363), we get a palindrome (67713231776).

The spelling of 36301121413 in words is "thirty-six billion, three hundred one million, one hundred twenty-one thousand, four hundred thirteen".