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11120014302100 = 225211232207199151
BaseRepresentation
bin1010000111010001010010…
…0000001001101110010100
31110101001200220201220121021
42201310110200021232110
52424142242130131400
635352244122330524
72225252215003654
oct241642440115624
943331626656537
1011120014302100
1135a7a761a2450
1212b7172359a44
136287c75781b2
142a62d6762364
151443cca3771a
hexa1d14809b94

11120014302100 has 144 divisors (see below), whose sum is σ = 27481217089536. Its totient is φ = 3866059120000.

The previous prime is 11120014302097. The next prime is 11120014302119. The reversal of 11120014302100 is 120341002111.

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 47 ways as a sum of consecutive naturals, for example, 55737525 + ... + 55936675.

It is an arithmetic number, because the mean of its divisors is an integer number (190841785344).

Almost surely, 211120014302100 is an apocalyptic number.

11120014302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120014302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740608544768).

11120014302100 is an abundant number, since it is smaller than the sum of its proper divisors (16361202787436).

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

11120014302100 is a wasteful number, since it uses less digits than its factorization.

11120014302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201406 (or 201399 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11120014302100 its reverse (120341002111), we get a palindrome (11240355304211).

The spelling of 11120014302100 in words is "eleven trillion, one hundred twenty billion, fourteen million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2207 2300 2530 4414 5060 6325 8828 11035 12650 22070 24277 25300 44140 48554 50761 55175 97108 101522 110350 121385 199151 203044 220700 242770 253805 398302 485540 507610 558371 606925 796604 995755 1015220 1116742 1213850 1269025 1991510 2190661 2233484 2427700 2538050 2791855 3983020 4381322 4580473 4978775 5076100 5583710 8762644 9160946 9957550 10953305 11167420 13959275 18321892 19915100 21906610 22902365 27918550 43813220 45804730 50385203 54766525 55837100 91609460 100770406 109533050 114511825 201540812 219066100 229023650 251926015 439526257 458047300 503852030 879052514 1007704060 1259630075 1758105028 2197631285 2519260150 4395262570 4834788827 5038520300 8790525140 9669577654 10109103911 10988156425 19339155308 20218207822 21976312850 24173944135 40436415644 43952625700 48347888270 50545519555 96695776540 101091039110 111200143021 120869720675 202182078220 222400286042 241739441350 252727597775 444800572084 483478882700 505455195550 556000715105 1010910391100 1112001430210 2224002860420 2780003575525 5560007151050 11120014302100