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2004312101 = 11417276113
BaseRepresentation
bin111011101110111…
…0110000000100101
312011200110121022112
41313131312000211
513101100441401
6530515210405
7100445241341
oct16735660045
95150417275
102004312101
11939422390
1247b2a6a05
1325c326cbc
1415029c621
15bae653bb
hex77776025

2004312101 has 16 divisors (see below), whose sum is σ = 2243299968. Its totient is φ = 1774924800.

The previous prime is 2004312073. The next prime is 2004312127. The reversal of 2004312101 is 1012134002.

It is a de Polignac number, because none of the positive numbers 2k-2004312101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004312131) 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, 324821 + ... + 330933.

It is an arithmetic number, because the mean of its divisors is an integer number (140206248).

Almost surely, 22004312101 is an apocalyptic number.

It is an amenable number.

2004312101 is a deficient number, since it is larger than the sum of its proper divisors (238987867).

2004312101 is a wasteful number, since it uses less digits than its factorization.

2004312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2004312101 is about 44769.5443465756. The cubic root of 2004312101 is about 1260.8258843863.

Adding to 2004312101 its reverse (1012134002), we get a palindrome (3016446103).

The spelling of 2004312101 in words is "two billion, four million, three hundred twelve thousand, one hundred one".

Divisors: 1 11 41 451 727 6113 7997 29807 67243 250633 327877 2756963 4444151 48885661 182210191 2004312101