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2123104004 = 227198094933
BaseRepresentation
bin111111010001011…
…1111111100000100
312110221222212011122
41332202333330010
513322003312004
6550401253112
7103420041410
oct17642777404
95427885148
102123104004
1199a48950a
124b3034198
1327ab1a078
14161d81d40
15c65cccbe
hex7e8bff04

2123104004 has 48 divisors (see below), whose sum is σ = 4476124800. Its totient is φ = 860772096.

The previous prime is 2123104001. The next prime is 2123104073. The reversal of 2123104004 is 4004013212.

It is a super-2 number, since 2×21231040042 = 9015141223601664032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2123104001) 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, 427922 + ... + 432854.

It is an arithmetic number, because the mean of its divisors is an integer number (93252600).

Almost surely, 22123104004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123104004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238062400).

2123104004 is an abundant number, since it is smaller than the sum of its proper divisors (2353020796).

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

2123104004 is a wasteful number, since it uses less digits than its factorization.

2123104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2123104004 is about 46077.1527332148. The cubic root of 2123104004 is about 1285.2583176624.

Adding to 2123104004 its reverse (4004013212), we get a palindrome (6127117216).

The spelling of 2123104004 in words is "two billion, one hundred twenty-three million, one hundred four thousand, four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 809 1618 3236 4933 5663 9866 11326 15371 19732 22652 30742 34531 61484 69062 93727 107597 138124 187454 215194 374908 430388 656089 1312178 2624356 3990797 7981594 15963188 27935579 55871158 75825143 111742316 151650286 303300572 530776001 1061552002 2123104004