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2005000122 = 234117945533
BaseRepresentation
bin111011110000001…
…1101111110111010
312011201202120002210
41313200131332322
513101240000442
6530542035550
7100454135256
oct16740357672
95151676083
102005000122
119398522a4
1247b578bb6
1325c508208
141503db266
15bb04e19c
hex7781dfba

2005000122 has 32 divisors (see below), whose sum is σ = 4130844480. Its totient is φ = 648375680.

The previous prime is 2005000097. The next prime is 2005000139. The reversal of 2005000122 is 2210005002.

It is a junction number, because it is equal to n+sod(n) for n = 2005000098 and 2005000107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21268 + ... + 66800.

It is an arithmetic number, because the mean of its divisors is an integer number (129088890).

Almost surely, 22005000122 is an apocalyptic number.

2005000122 is an abundant number, since it is smaller than the sum of its proper divisors (2125844358).

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

2005000122 is a wasteful number, since it uses less digits than its factorization.

2005000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45758.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2005000122 is about 44777.2277167759. The cubic root of 2005000122 is about 1260.9701359469.

Adding to 2005000122 its reverse (2210005002), we get a palindrome (4215005124).

The spelling of 2005000122 in words is "two billion, five million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 41 82 123 179 246 358 537 1074 7339 14678 22017 44034 45533 91066 136599 273198 1866853 3733706 5600559 8150407 11201118 16300814 24451221 48902442 334166687 668333374 1002500061 2005000122