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2001110120 = 235172942809
BaseRepresentation
bin111011101000110…
…1000010001101000
312011110102221000122
41313101220101220
513044241010440
6530322422412
7100406104202
oct16721502150
95143387018
102001110120
11937635719
1247a201a08
1325b775739
1414daa7772
15baa317b5
hex77468468

2001110120 has 32 divisors (see below), whose sum is σ = 4767352200. Its totient is φ = 753358848.

The previous prime is 2001110119. The next prime is 2001110129. The reversal of 2001110120 is 210111002.

It can be written as a sum of positive squares in 4 ways, for example, as 1969051876 + 32058244 = 44374^2 + 5662^2 .

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 = 2001110098 and 2001110107.

It is not an unprimeable number, because it can be changed into a prime (2001110129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1470725 + ... + 1472084.

Almost surely, 22001110120 is an apocalyptic number.

2001110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001110120 is an abundant number, since it is smaller than the sum of its proper divisors (2766242080).

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

2001110120 is a wasteful number, since it uses less digits than its factorization.

2001110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942837 (or 2942833 counting only the distinct ones).

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

The square root of 2001110120 is about 44733.7693471051. The cubic root of 2001110120 is about 1260.1541173707.

Adding to 2001110120 its reverse (210111002), we get a palindrome (2211221122).

The spelling of 2001110120 in words is "two billion, one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 2942809 5885618 11771236 14714045 23542472 29428090 50027753 58856180 100055506 117712360 200111012 250138765 400222024 500277530 1000555060 2001110120