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11201110120 = 2351937731877
BaseRepresentation
bin10100110111010001…
…10110000001101000
31001220121212100110101
422123220312001220
5140414441010440
65051250355144
7544400602504
oct123350660150
931817770411
1011201110120
114828809902
12220728bab4
1310967b0015
147838a1304
1545856769a
hex29ba36068

11201110120 has 64 divisors (see below), whose sum is σ = 25379367120. Its totient is φ = 4449091584.

The previous prime is 11201110111. The next prime is 11201110163. The reversal of 11201110120 is 2101110211.

It can be written as a sum of positive squares in 8 ways, for example, as 1522092196 + 9679017924 = 39014^2 + 98382^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11201110097 and 11201110106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5966622 + ... + 5968498.

Almost surely, 211201110120 is an apocalyptic number.

11201110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201110120 is an abundant number, since it is smaller than the sum of its proper divisors (14178257000).

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

11201110120 is a wasteful number, since it uses less digits than its factorization.

11201110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11201110120 its reverse (2101110211), we get a palindrome (13302220331).

Subtracting from 11201110120 its reverse (2101110211), we obtain a palindrome (9099999909).

The spelling of 11201110120 in words is "eleven billion, two hundred one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 193 386 772 773 965 1544 1546 1877 1930 3092 3754 3860 3865 6184 7508 7720 7730 9385 15016 15460 18770 30920 37540 75080 149189 298378 362261 596756 724522 745945 1193512 1449044 1450921 1491890 1811305 2898088 2901842 2983780 3622610 5803684 5967560 7245220 7254605 11607368 14490440 14509210 29018420 58036840 280027753 560055506 1120111012 1400138765 2240222024 2800277530 5600555060 11201110120