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2000376001 = 13979371693
BaseRepresentation
bin111011100111011…
…0101000011000001
312011102001122000001
41313032311003001
513044044013001
6530255000001
7100366626001
oct16716650301
95142048001
102000376001
11937184108
12479b09001
1325b579550
1414d956001
15ba939001
hex773b50c1

2000376001 has 16 divisors (see below), whose sum is σ = 2180069584. Its totient is φ = 1824436224.

The previous prime is 2000375963. The next prime is 2000376017. The reversal of 2000376001 is 1006730002.

It is a Cunningham number, because it is equal to 12603+1.

It can be written as a sum of positive squares in 8 ways, for example, as 560552976 + 1439823025 = 23676^2 + 37945^2 .

It is a de Polignac number, because none of the positive numbers 2k-2000376001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2000376001.

It is not an unprimeable number, because it can be changed into a prime (2000376041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180711 + ... + 1182403.

It is an arithmetic number, because the mean of its divisors is an integer number (136254349).

Almost surely, 22000376001 is an apocalyptic number.

It is an amenable number.

2000376001 is a deficient number, since it is larger than the sum of its proper divisors (179693583).

2000376001 is a wasteful number, since it uses less digits than its factorization.

2000376001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 2000376001 is about 44725.5631714124. The cubic root of 2000376001 is about 1260.0000002100. Note that the first 6 decimals are identical.

The spelling of 2000376001 in words is "two billion, three hundred seventy-six thousand, one".

Divisors: 1 13 97 937 1261 1693 12181 22009 90889 164221 1181557 1586341 2134873 20622433 153875077 2000376001