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2004104313 = 321724118793
BaseRepresentation
bin111011101110100…
…0011010001111001
312011200002001021200
41313131003101321
513101022314223
6530510524413
7100443414501
oct16735032171
95150061250
102004104313
119392a0262
1247b206709
1325c283553
14150246a01
15bae23a43
hex77743479

2004104313 has 36 divisors (see below), whose sum is σ = 3150287868. Its totient is φ = 1226741760.

The previous prime is 2004104251. The next prime is 2004104321. The reversal of 2004104313 is 3134014002.

2004104313 is a `hidden beast` number, since 200 + 410 + 43 + 13 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 35141184 + 1968963129 = 5928^2 + 44373^2 .

It is not a de Polignac number, because 2004104313 - 210 = 2004103289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2004104383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97245 + ... + 116037.

Almost surely, 22004104313 is an apocalyptic number.

It is an amenable number.

2004104313 is a deficient number, since it is larger than the sum of its proper divisors (1146183555).

2004104313 is a wasteful number, since it uses less digits than its factorization.

2004104313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18874 (or 18854 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2004104313 is about 44767.2236463241. The cubic root of 2004104313 is about 1260.7823127386.

Adding to 2004104313 its reverse (3134014002), we get a palindrome (5138118315).

The spelling of 2004104313 in words is "two billion, four million, one hundred four thousand, three hundred thirteen".

Divisors: 1 3 9 17 41 51 123 153 289 369 697 867 2091 2601 6273 11849 18793 35547 56379 106641 169137 319481 770513 958443 2311539 2875329 5431177 6934617 13098721 16293531 39296163 48880593 117888489 222678257 668034771 2004104313