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120020002000 = 245360010001
BaseRepresentation
bin110111111000110111…
…1111110010011010000
3102110210101210211002021
41233301233332103100
53431300110031000
6131045245101224
711446131120163
oct1576157762320
9373711724067
10120020002000
114699a1869a8
121b316557814
13b41939b682
145b47c71ada
1531c6b0711a
hex1bf1bfe4d0

120020002000 has 40 divisors (see below), whose sum is σ = 290208369672. Its totient is φ = 48008000000.

The previous prime is 120020001947. The next prime is 120020002019. The reversal of 120020002000 is 200020021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1868314176 + 118151687824 = 43224^2 + 343732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30003001 + ... + 30007000.

Almost surely, 2120020002000 is an apocalyptic number.

120020002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020002000 is an abundant number, since it is smaller than the sum of its proper divisors (170188367672).

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

120020002000 is an equidigital number, since it uses as much as digits as its factorization.

120020002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60010024 (or 60010008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 120020002000 its reverse (200020021), we get a palindrome (120220022021).

The spelling of 120020002000 in words is "one hundred twenty billion, twenty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 60010001 120020002 240040004 300050005 480080008 600100010 960160016 1200200020 1500250025 2400400040 3000500050 4800800080 6001000100 7501250125 12002000200 15002500250 24004000400 30005000500 60010001000 120020002000