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11100110120 = 2351153475991
BaseRepresentation
bin10100101011001111…
…00011110100101000
31001122120211000111122
422111213203310220
5140213112010440
65033241514412
7542033244041
oct122547436450
931576730448
1011100110120
1147867a5030
1221994a2a08
13107b8a92c8
147742cd8c8
1544e7667b5
hex2959e3d28

11100110120 has 64 divisors (see below), whose sum is σ = 27759853440. Its totient is φ = 3960236800.

The previous prime is 11100110083. The next prime is 11100110183. The reversal of 11100110120 is 2101100111.

It is a happy number.

11100110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111001101202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11100110098 and 11100110107.

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 15 ways as a sum of consecutive naturals, for example, 214676 + ... + 261315.

It is an arithmetic number, because the mean of its divisors is an integer number (433747710).

Almost surely, 211100110120 is an apocalyptic number.

11100110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100110120 is an abundant number, since it is smaller than the sum of its proper divisors (16659743320).

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

11100110120 is a wasteful number, since it uses less digits than its factorization.

11100110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476066 (or 476062 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11100110120 its reverse (2101100111), we get a palindrome (13201210231).

It can be divided in two parts, 111001 and 10120, that added together give a palindrome (121121).

The spelling of 11100110120 in words is "eleven billion, one hundred million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1060 1166 2120 2332 2915 4664 5830 11660 23320 475991 951982 1903964 2379955 3807928 4759910 5235901 9519820 10471802 19039640 20943604 25227523 26179505 41887208 50455046 52359010 100910092 104718020 126137615 201820184 209436040 252275230 277502753 504550460 555005506 1009100920 1110011012 1387513765 2220022024 2775027530 5550055060 11100110120