Search a number
-
+
1110101111233 is a prime number
BaseRepresentation
bin10000001001110111001…
…011101011000111000001
310221010100212002101101121
4100021313023223013001
5121141441341024413
62205550131232241
7143126224520302
oct20116713530701
93833325071347
101110101111233
11398878156404
1215b18a748681
13808b3707c7a
143ba2cc2a7a9
151dd22682b8d
hex102772eb1c1

1110101111233 has 2 divisors, whose sum is σ = 1110101111234. Its totient is φ = 1110101111232.

The previous prime is 1110101111143. The next prime is 1110101111267. The reversal of 1110101111233 is 3321111010111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1107055395889 + 3045715344 = 1052167^2 + 55188^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1110101111233 is a prime.

It is not a weakly prime, because it can be changed into another prime (1110101111333) 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, 555050555616 + 555050555617.

It is an arithmetic number, because the mean of its divisors is an integer number (555050555617).

Almost surely, 21110101111233 is an apocalyptic number.

It is an amenable number.

1110101111233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110101111233 is an equidigital number, since it uses as much as digits as its factorization.

1110101111233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 1110101111233 its reverse (3321111010111), we get a palindrome (4431212121344).

The spelling of 1110101111233 in words is "one trillion, one hundred ten billion, one hundred one million, one hundred eleven thousand, two hundred thirty-three".