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2011001120 = 25512568757
BaseRepresentation
bin111011111011101…
…0111000100100000
312012011001102220222
41313313113010200
513104304013440
6531314422212
7100556141012
oct16767270440
95164042828
102011001120
119421809a7
12481591968
132608297bb
141511201b2
15bb8372b5
hex77dd7120

2011001120 has 24 divisors (see below), whose sum is σ = 4750990524. Its totient is φ = 804400384.

The previous prime is 2011001071. The next prime is 2011001131. The reversal of 2011001120 is 211001102.

It can be written as a sum of positive squares in 2 ways, for example, as 1738222864 + 272778256 = 41692^2 + 16516^2 .

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 = 2011001098 and 2011001107.

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 3 ways as a sum of consecutive naturals, for example, 6284219 + ... + 6284538.

Almost surely, 22011001120 is an apocalyptic number.

2011001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011001120 is an abundant number, since it is smaller than the sum of its proper divisors (2739989404).

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

2011001120 is a wasteful number, since it uses less digits than its factorization.

2011001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12568772 (or 12568764 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2011001120 is about 44844.1871372422. The cubic root of 2011001120 is about 1262.2269176374.

Adding to 2011001120 its reverse (211001102), we get a palindrome (2222002222).

The spelling of 2011001120 in words is "two billion, eleven million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12568757 25137514 50275028 62843785 100550056 125687570 201100112 251375140 402200224 502750280 1005500560 2011001120