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12312020002000 = 24536156010001
BaseRepresentation
bin1011001100101001110110…
…0101000010010011010000
31121121000110211202111110211
42303022131211002103100
53103210004110031000
642104021445333504
72410341222166435
oct263123545022320
947530424674424
1012312020002000
113a17553354554
12146a19a707294
136b40318672c4
14307c95267b8c
151653e59a17ba
hexb329d9424d0

12312020002000 has 40 divisors (see below), whose sum is σ = 29770464369672. Its totient is φ = 4924808000000.

The previous prime is 12312020001997. The next prime is 12312020002069. The reversal of 12312020002000 is 20002021321.

It can be written as a sum of positive squares in 4 ways, for example, as 8509693504 + 12303510308496 = 92248^2 + 3507636^2 .

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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3078003001 + ... + 3078007000.

Almost surely, 212312020002000 is an apocalyptic number.

12312020002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312020002000 is an abundant number, since it is smaller than the sum of its proper divisors (17458444367672).

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

12312020002000 is an equidigital number, since it uses as much as digits as its factorization.

12312020002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156010024 (or 6156010008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12312020002000 its reverse (20002021321), we get a palindrome (12332022023321).

The spelling of 12312020002000 in words is "twelve trillion, three hundred twelve 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 6156010001 12312020002 24624040004 30780050005 49248080008 61560100010 98496160016 123120200020 153900250025 246240400040 307800500050 492480800080 615601000100 769501250125 1231202000200 1539002500250 2462404000400 3078005000500 6156010001000 12312020002000