Search a number
-
+
104216077452241 is a prime number
BaseRepresentation
bin10111101100100010110010…
…010001101100001111010001
3111122222221220121212010000101
4113230202302101230033101
5102124434011311432431
61005352112142252401
730644235360165106
oct2754426221541721
9448887817763011
10104216077452241
113022a8768a5857
12b831935587101
13461c6c30945a1
141ba41295a6aad
15c0ad753e3961
hex5ec8b246c3d1

104216077452241 has 2 divisors, whose sum is σ = 104216077452242. Its totient is φ = 104216077452240.

The previous prime is 104216077452211. The next prime is 104216077452259. The reversal of 104216077452241 is 142254770612401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101128747325841 + 3087330126400 = 10056279^2 + 1757080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104216077452241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104216077452191 and 104216077452200.

It is not a weakly prime, because it can be changed into another prime (104216077452211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52108038726120 + 52108038726121.

It is an arithmetic number, because the mean of its divisors is an integer number (52108038726121).

Almost surely, 2104216077452241 is an apocalyptic number.

It is an amenable number.

104216077452241 is a deficient number, since it is larger than the sum of its proper divisors (1).

104216077452241 is an equidigital number, since it uses as much as digits as its factorization.

104216077452241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 104216077452241 in words is "one hundred four trillion, two hundred sixteen billion, seventy-seven million, four hundred fifty-two thousand, two hundred forty-one".