Search a number
-
+
111221112121220 = 22561467201197073
BaseRepresentation
bin11001010010011110101110…
…111000010010011110000100
3112120210122010112102202212002
4121102132232320102132010
5104034221314200334340
61032314135030244432
732266313561345453
oct3122365670223604
9476718115382762
10111221112121220
113249067729a452
12105834914b6718
134a0a14b79998a
141d671b8326b9a
15ccd1b2ae6715
hex6527aee12784

111221112121220 has 96 divisors (see below), whose sum is σ = 238022347844736. Its totient is φ = 43643260569600.

The previous prime is 111221112121201. The next prime is 111221112121267. The reversal of 111221112121220 is 22121211122111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111221112121192 and 111221112121201.

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 31 ways as a sum of consecutive naturals, for example, 1145698604 + ... + 1145795676.

It is an arithmetic number, because the mean of its divisors is an integer number (2479399456716).

Almost surely, 2111221112121220 is an apocalyptic number.

111221112121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111221112121220 is an abundant number, since it is smaller than the sum of its proper divisors (126801235723516).

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

111221112121220 is a wasteful number, since it uses less digits than its factorization.

111221112121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99621 (or 99619 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 111221112121220 its reverse (22121211122111), we get a palindrome (133342323243331).

The spelling of 111221112121220 in words is "one hundred eleven trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 467 610 934 1220 1868 2011 2335 4022 4670 8044 9340 10055 20110 28487 40220 56974 97073 113948 122671 142435 194146 245342 284870 388292 485365 490684 569740 613355 939137 970730 1226710 1878274 1941460 2453420 3756548 4695685 5921453 9391370 11842906 18782740 23685812 29607265 45333091 57287357 59214530 90666182 114574714 118429060 181332364 195213803 226665455 229149428 286436785 390427606 453330910 572873570 780855212 906661820 976069015 1145747140 1952138030 2765318551 3904276060 5530637102 11061274204 11908041983 13826592755 23816083966 27653185510 47632167932 55306371020 59540209915 91164846001 119080419830 182329692002 238160839660 364659384004 455824230005 911648460010 1823296920020 5561055606061 11122111212122 22244222424244 27805278030305 55610556060610 111221112121220