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2001312120 = 233516677601
BaseRepresentation
bin111011101001001…
…1001100101111000
312011110211012010010
41313102121211320
513044313441440
6530331021520
7100410605133
oct16722314570
95143735103
102001312120
11937763465
1247a29a8a0
1325b816672
1414db1b21a
15baa71580
hex77499978

2001312120 has 32 divisors (see below), whose sum is σ = 6003936720. Its totient is φ = 533683200.

The previous prime is 2001312109. The next prime is 2001312139. The reversal of 2001312120 is 212131002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001312096 and 2001312105.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8338681 + ... + 8338920.

Almost surely, 22001312120 is an apocalyptic number.

2001312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001312120 is an abundant number, since it is smaller than the sum of its proper divisors (4002624600).

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

2001312120 is a wasteful number, since it uses less digits than its factorization.

2001312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16677615 (or 16677611 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2001312120 is about 44736.0270922665. The cubic root of 2001312120 is about 1260.1965175972.

Adding to 2001312120 its reverse (212131002), we get a palindrome (2213443122).

The spelling of 2001312120 in words is "two billion, one million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 16677601 33355202 50032803 66710404 83388005 100065606 133420808 166776010 200131212 250164015 333552020 400262424 500328030 667104040 1000656060 2001312120