Search a number
-
+
111201111000100 = 225211109927448799
BaseRepresentation
bin11001010010001100000110…
…101110000100010000100100
3112120201201111121210112201101
4121102030012232010100210
5104033404333404000400
61032301030221005444
732265005123542132
oct3122140656042044
9476651447715641
10111201111000100
1132483143175090
121057b62b0b3884
134a082b1abb974
141d6623bc2c752
15ccc8e1c0856a
hex652306b84424

111201111000100 has 72 divisors (see below), whose sum is σ = 265658434272000. Its totient is φ = 40065788073600.

The previous prime is 111201111000019. The next prime is 111201111000121. The reversal of 111201111000100 is 1000111102111.

It is a super-2 number, since 2×1112011110001002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463604500 + ... + 463844299.

It is an arithmetic number, because the mean of its divisors is an integer number (3689700476000).

Almost surely, 2111201111000100 is an apocalyptic number.

111201111000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111201111000100 is an abundant number, since it is smaller than the sum of its proper divisors (154457323271900).

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

111201111000100 is a wasteful number, since it uses less digits than its factorization.

111201111000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927448933 (or 927448926 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 111201111000100 its reverse (1000111102111), we get a palindrome (112201222102211).

The spelling of 111201111000100 in words is "one hundred eleven trillion, two hundred one billion, one hundred eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 109 110 218 220 275 436 545 550 1090 1100 1199 2180 2398 2725 4796 5450 5995 10900 11990 23980 29975 59950 119900 927448799 1854897598 3709795196 4637243995 9274487990 10201936789 18548975980 20403873578 23186219975 40807747156 46372439950 51009683945 92744879900 101091919091 102019367890 202183838182 204038735780 255048419725 404367676364 505459595455 510096839450 1010919190910 1020193678900 1112011110001 2021838381820 2224022220002 2527297977275 4448044440004 5054595954550 5560055550005 10109191909100 11120111100010 22240222200020 27800277750025 55600555500050 111201111000100