Search a number
-
+
111220221220002 = 232236122031999121
BaseRepresentation
bin11001010010011101111001…
…110001110001010010100010
3112120210112211110001022010200
4121102131321301301102202
5104034213003113020002
61032313510403210030
732266252522664016
oct3122357161612242
9476715743038120
10111220221220002
113249025a412154
1210583283076916
134a0a03903a8ab
141d67131c98546
15ccd15e7b5b1c
hex652779c714a2

111220221220002 has 96 divisors (see below), whose sum is σ = 255692757580416. Its totient is φ = 34864332940800.

The previous prime is 111220221219971. The next prime is 111220221220021. The reversal of 111220221220002 is 200022122022111.

It is a happy number.

111220221220002 is a `hidden beast` number, since 1 + 1 + 1 + 220 + 221 + 220 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 54635002 + ... + 56634122.

It is an arithmetic number, because the mean of its divisors is an integer number (2663466224796).

Almost surely, 2111220221220002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111220221220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127846378790208).

111220221220002 is an abundant number, since it is smaller than the sum of its proper divisors (144472536360414).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111220221220002 is a wasteful number, since it uses less digits than its factorization.

111220221220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001416 (or 2001413 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 111220221220002 its reverse (200022122022111), we get a palindrome (311242343242113).

The spelling of 111220221220002 in words is "one hundred eleven trillion, two hundred twenty billion, two hundred twenty-one million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 23 46 61 69 122 138 183 207 366 414 549 1098 1403 2203 2806 4209 4406 6609 8418 12627 13218 19827 25254 39654 50669 101338 134383 152007 268766 304014 403149 456021 806298 912042 1209447 1999121 2418894 3090809 3998242 5997363 6181618 9272427 11994726 17992089 18544854 27817281 35984178 45979783 55634562 91959566 121946381 137939349 243892762 275878698 365839143 413818047 731678286 827636094 1097517429 2195034858 2804766763 4404063563 5609533526 8414300289 8808127126 13212190689 16828600578 25242900867 26424381378 39636572067 50485801734 79273144134 101293461949 202586923898 268647877343 303880385847 537295754686 607760771694 805943632029 911641157541 1611887264058 1823282315082 2417830896087 4835661792174 6178901178889 12357802357778 18536703536667 37073407073334 55610110610001 111220221220002