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2000002120 = 23561819673
BaseRepresentation
bin111011100110101…
…1001110001001000
312011101100122010121
41313031121301020
513044000031440
6530242553024
7100363510654
oct16715316110
95141318117
102000002120
11936a49216
12479968774
1325b47830c
1414d899a64
15ba8b334a
hex77359c48

2000002120 has 32 divisors (see below), whose sum is σ = 4573780920. Its totient is φ = 786885120.

The previous prime is 2000002091. The next prime is 2000002129. The reversal of 2000002120 is 212000002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1014167716 + 985834404 = 31846^2 + 31398^2 .

It is not an unprimeable number, because it can be changed into a prime (2000002129) 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, 407397 + ... + 412276.

Almost surely, 22000002120 is an apocalyptic number.

2000002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000002120 is an abundant number, since it is smaller than the sum of its proper divisors (2573778800).

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

2000002120 is a wasteful number, since it uses less digits than its factorization.

2000002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819745 (or 819741 counting only the distinct ones).

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

The square root of 2000002120 is about 44721.3832523101. The cubic root of 2000002120 is about 1259.9214950668.

Adding to 2000002120 its reverse (212000002), we get a palindrome (2212002122).

The spelling of 2000002120 in words is "two billion, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 819673 1639346 3278692 4098365 6557384 8196730 16393460 32786920 50000053 100000106 200000212 250000265 400000424 500000530 1000001060 2000002120