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11120003144124 = 2237221438824811
BaseRepresentation
bin1010000111010001001111…
…0101100101100110111100
31110101001200010202000201220
42201310103311211212330
52424142231301102444
635352243043233340
72225252021112300
oct241642365454674
943331603660656
1011120003144124
1135a7a6a971286
1212b716a678850
136287c516c544
142a62d5099d00
151443cba81619
hexa1d13d659bc

11120003144124 has 72 divisors (see below), whose sum is σ = 30196953497088. Its totient is φ = 3175660827360.

The previous prime is 11120003144123. The next prime is 11120003144267. The reversal of 11120003144124 is 42144130002111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11120003144094 and 11120003144103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120003144123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3152322 + ... + 5672489.

It is an arithmetic number, because the mean of its divisors is an integer number (419402131904).

Almost surely, 211120003144124 is an apocalyptic number.

11120003144124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11120003144124 is an abundant number, since it is smaller than the sum of its proper divisors (19076950352964).

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

11120003144124 is a wasteful number, since it uses less digits than its factorization.

11120003144124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826975 (or 8826966 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11120003144124 its reverse (42144130002111), we get a palindrome (53264133146235).

The spelling of 11120003144124 in words is "eleven trillion, one hundred twenty billion, three million, one hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 2143 4286 6429 8572 12858 15001 25716 30002 45003 60004 90006 105007 180012 210014 315021 420028 630042 1260084 8824811 17649622 26474433 35299244 52948866 61773677 105897732 123547354 185321031 247094708 370642062 432415739 741284124 864831478 1297247217 1729662956 2594494434 5188988868 18911569973 37823139946 56734709919 75646279892 113469419838 132380989811 226938839676 264761979622 397142969433 529523959244 794285938866 926666928677 1588571877732 1853333857354 2780000786031 3706667714708 5560001572062 11120003144124