Search a number
-
+
114222044321311 = 2331257623343271
BaseRepresentation
bin11001111110001001100100…
…011000001001011000011111
3112222102112001122210201102111
4121332021210120021120133
5104432403221321240221
61042532514402134451
733026161511232223
oct3176114430113037
9488375048721374
10114222044321311
113343832a290923
1210988bb7651427
134b97128488764
14202c53ad5c783
15d3129e0c7be1
hex67e26460961f

114222044321311 has 16 divisors (see below), whose sum is σ = 123511729287168. Its totient is φ = 105320078899200.

The previous prime is 114222044321269. The next prime is 114222044321317. The reversal of 114222044321311 is 113123440222411.

It is a cyclic number.

It is not a de Polignac number, because 114222044321311 - 29 = 114222044320799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114222044321317) 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 in 15 ways as a sum of consecutive naturals, for example, 311488395 + ... + 311854876.

It is an arithmetic number, because the mean of its divisors is an integer number (7719483080448).

Almost surely, 2114222044321311 is an apocalyptic number.

114222044321311 is a deficient number, since it is larger than the sum of its proper divisors (9289684965857).

114222044321311 is a wasteful number, since it uses less digits than its factorization.

114222044321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623343582.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 114222044321311 its reverse (113123440222411), we get a palindrome (227345484543722).

The spelling of 114222044321311 in words is "one hundred fourteen trillion, two hundred twenty-two billion, forty-four million, three hundred twenty-one thousand, three hundred eleven".

Divisors: 1 23 31 257 713 5911 7967 183241 623343271 14336895233 19323641401 160199220647 444443752223 3684582074881 4966175840057 114222044321311