Search a number
-
+
2004102012 = 2231131489761
BaseRepresentation
bin111011101110100…
…0010101101111100
312011200001221010110
41313131002231330
513101022231022
6530510510020
7100443405003
oct16735025574
95150057113
102004102012
11939299560
1247b205310
1325c2824a3
14150245c3a
15bae2300c
hex77742b7c

2004102012 has 48 divisors (see below), whose sum is σ = 5265921024. Its totient is φ = 587712000.

The previous prime is 2004102011. The next prime is 2004102031. The reversal of 2004102012 is 2102014002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004102011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 240789 + ... + 248972.

It is an arithmetic number, because the mean of its divisors is an integer number (109706688).

Almost surely, 22004102012 is an apocalyptic number.

2004102012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2004102012 is an abundant number, since it is smaller than the sum of its proper divisors (3261819012).

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

2004102012 is a wasteful number, since it uses less digits than its factorization.

2004102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489810 (or 489808 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2004102012 is about 44767.1979467109. The cubic root of 2004102012 is about 1260.7818302186.

Adding to 2004102012 its reverse (2102014002), we get a palindrome (4106116014).

The spelling of 2004102012 in words is "two billion, four million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 489761 979522 1469283 1959044 2938566 5387371 5877132 10774742 15182591 16162113 21549484 30365182 32324226 45547773 60730364 64648452 91095546 167008501 182191092 334017002 501025503 668034004 1002051006 2004102012