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2000801319 = 311179338717
BaseRepresentation
bin111011101000001…
…1100111000100111
312011102212020102120
41313100130320213
513044201120234
6530312041023
7100403346666
oct16720347047
95142766376
102000801319
11937444710
1247a093173
1325b69800a
1414da26ddd
15ba9c0049
hex7741ce27

2000801319 has 16 divisors (see below), whose sum is σ = 2926523520. Its totient is φ = 1205828960.

The previous prime is 2000801273. The next prime is 2000801323. The reversal of 2000801319 is 9131080002.

It is a cyclic number.

It is not a de Polignac number, because 2000801319 - 27 = 2000801191 is a prime.

It is a super-2 number, since 2×20008013192 = 8006411836224279522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000801329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163452 + ... + 175265.

It is an arithmetic number, because the mean of its divisors is an integer number (182907720).

Almost surely, 22000801319 is an apocalyptic number.

2000801319 is a deficient number, since it is larger than the sum of its proper divisors (925722201).

2000801319 is a wasteful number, since it uses less digits than its factorization.

2000801319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338910.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 2000801319 is about 44730.3176715748. The cubic root of 2000801319 is about 1260.0892938733.

The spelling of 2000801319 in words is "two billion, eight hundred one thousand, three hundred nineteen".

Divisors: 1 3 11 33 179 537 1969 5907 338717 1016151 3725887 11177661 60630343 181891029 666933773 2000801319