Search a number
-
+
111100100110201 is a prime number
BaseRepresentation
bin11001010000101110000010…
…000000000110011101111001
3112120101001202222222200020001
4121100232002000012131321
5104030231001112011301
61032142403103033001
732254501023255556
oct3120560200063571
9476331688880201
10111100100110201
1132444319158494
1210563b3a89b761
1349cb904a2b427
141d613b8827a2d
15cc9e7dd8ac01
hex650b82006779

111100100110201 has 2 divisors, whose sum is σ = 111100100110202. Its totient is φ = 111100100110200.

The previous prime is 111100100110163. The next prime is 111100100110231. The reversal of 111100100110201 is 102011001001111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104676409860201 + 6423690250000 = 10231149^2 + 2534500^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100100110201 - 29 = 111100100109689 is a prime.

It is not a weakly prime, because it can be changed into another prime (111100100110231) 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, 55550050055100 + 55550050055101.

It is an arithmetic number, because the mean of its divisors is an integer number (55550050055101).

Almost surely, 2111100100110201 is an apocalyptic number.

It is an amenable number.

111100100110201 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100100110201 is an equidigital number, since it uses as much as digits as its factorization.

111100100110201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 111100100110201 its reverse (102011001001111), we get a palindrome (213111101111312).

The spelling of 111100100110201 in words is "one hundred eleven trillion, one hundred billion, one hundred million, one hundred ten thousand, two hundred one".