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2007110120 = 235151332303
BaseRepresentation
bin111011110100010…
…0001000111101000
312011212201202110212
41313220201013220
513102310010440
6531055200252
7100511104001
oct16750410750
95155652425
102007110120
1193aa635a4
12480216088
1325ca96732
141507ca1a8
15bb319465
hex77a211e8

2007110120 has 32 divisors (see below), whose sum is σ = 4545918720. Its totient is φ = 797524800.

The previous prime is 2007110101. The next prime is 2007110123. The reversal of 2007110120 is 210117002.

It is a junction number, because it is equal to n+sod(n) for n = 2007110095 and 2007110104.

It is not an unprimeable number, because it can be changed into a prime (2007110123) 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, 160112 + ... + 172191.

It is an arithmetic number, because the mean of its divisors is an integer number (142059960).

Almost surely, 22007110120 is an apocalyptic number.

2007110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007110120 is an abundant number, since it is smaller than the sum of its proper divisors (2538808600).

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

2007110120 is a wasteful number, since it uses less digits than its factorization.

2007110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332465 (or 332461 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 2007110120 is about 44800.7825824505. The cubic root of 2007110120 is about 1261.4123157512.

Adding to 2007110120 its reverse (210117002), we get a palindrome (2217227122).

The spelling of 2007110120 in words is "two billion, seven million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 3020 6040 332303 664606 1329212 1661515 2658424 3323030 6646060 13292120 50177753 100355506 200711012 250888765 401422024 501777530 1003555060 2007110120