Search a number
-
+
111120220200220 = 225711471535233769
BaseRepresentation
bin11001010001000000110001…
…010000001001110100011100
3112120102222201012111011000021
4121101000301100021310130
5104031043202332401340
61032155531402241524
732256112434230260
oct3121006120116434
9476388635434007
10111120220200220
113245190344a960
1210567a14ab62a4
134a00790261c3a
141d62366a500a0
15cca75a428e4a
hex651031409d1c

111120220200220 has 96 divisors (see below), whose sum is σ = 297123002910720. Its totient is φ = 33897961597440.

The previous prime is 111120220200137. The next prime is 111120220200289. The reversal of 111120220200220 is 22002022021111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111120220200194 and 111120220200203.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 767544505 + ... + 767689264.

It is an arithmetic number, because the mean of its divisors is an integer number (3095031280320).

Almost surely, 2111120220200220 is an apocalyptic number.

111120220200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111120220200220 is an abundant number, since it is smaller than the sum of its proper divisors (186002782710500).

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

111120220200220 is a wasteful number, since it uses less digits than its factorization.

111120220200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535233843 (or 1535233841 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 111120220200220 its reverse (22002022021111), we get a palindrome (133122242221331).

The spelling of 111120220200220 in words is "one hundred eleven trillion, one hundred twenty billion, two hundred twenty million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 55 70 77 94 110 140 154 188 220 235 308 329 385 470 517 658 770 940 1034 1316 1540 1645 2068 2585 3290 3619 5170 6580 7238 10340 14476 18095 36190 72380 1535233769 3070467538 6140935076 7676168845 10746636383 15352337690 16887571459 21493272766 30704675380 33775142918 42986545532 53733181915 67550285836 72155987143 84437857295 107466363830 118213000213 144311974286 168875714590 214932727660 236426000426 288623948572 337751429180 360779935715 472852000852 505091910001 591065001065 721559871430 793715858573 1010183820002 1182130002130 1443119742860 1587431717146 2020367640004 2364260004260 2525459550005 3174863434292 3968579292865 5050919100010 5556011010011 7937158585730 10101838200020 11112022020022 15874317171460 22224044040044 27780055050055 55560110100110 111120220200220