Search a number
-
+
111122211301321 = 11149385317596363
BaseRepresentation
bin11001010001000010100111…
…111011100110011111001001
3112120110011211222002120020111
4121101002213323212133021
5104031111242043120241
61032200501130354321
732256212662266613
oct3121024773463711
9476404758076214
10111122211301321
1132452735369660
121056828b88b9a1
134a00a1991197c
141d624b526ddb3
15cca82512ec81
hex6510a7ee67c9

111122211301321 has 16 divisors (see below), whose sum is σ = 122069496340800. Its totient is φ = 100316155907520.

The previous prime is 111122211301319. The next prime is 111122211301337. The reversal of 111122211301321 is 123103112221111.

It is a cyclic number.

It is not a de Polignac number, because 111122211301321 - 21 = 111122211301319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111122211301292 and 111122211301301.

It is not an unprimeable number, because it can be changed into a prime (111122211301391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2483115 + ... + 15113248.

It is an arithmetic number, because the mean of its divisors is an integer number (7629343521300).

Almost surely, 2111122211301321 is an apocalyptic number.

111122211301321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111122211301321 is a deficient number, since it is larger than the sum of its proper divisors (10947285039479).

111122211301321 is a wasteful number, since it uses less digits than its factorization.

111122211301321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17600376.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 111122211301321 its reverse (123103112221111), we get a palindrome (234225323522432).

The spelling of 111122211301321 in words is "one hundred eleven trillion, one hundred twenty-two billion, two hundred eleven million, three hundred one thousand, three hundred twenty-one".

Divisors: 1 11 149 1639 3853 42383 574097 6315067 17596363 193559993 2621858087 28840438957 67798786639 745786653029 10102019209211 111122211301321