Search a number
-
+
2541110104 = 2313233792803
BaseRepresentation
bin1001011101110110…
…0100001101011000
320120002112202202001
42113131210031120
520201011010404
61100052450344
7116654036161
oct22735441530
96502482661
102541110104
1110944326a5
125ab0199b4
133165c4360
141a16b2768
15ed14b7a4
hex97764358

2541110104 has 64 divisors (see below), whose sum is σ = 5370220800. Its totient is φ = 1118468736.

The previous prime is 2541110063. The next prime is 2541110137. The reversal of 2541110104 is 4010111452.

2541110104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905167 + ... + 907969.

It is an arithmetic number, because the mean of its divisors is an integer number (83909700).

Almost surely, 22541110104 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 2541110104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685110400).

2541110104 is an abundant number, since it is smaller than the sum of its proper divisors (2829110696).

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

2541110104 is a wasteful number, since it uses less digits than its factorization.

2541110104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 2541110104 is about 50409.4247537105. The cubic root of 2541110104 is about 1364.6077319245.

Adding to 2541110104 its reverse (4010111452), we get a palindrome (6551221556).

The spelling of 2541110104 in words is "two billion, five hundred forty-one million, one hundred ten thousand, one hundred four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 379 598 758 1196 1516 2392 2803 3032 4927 5606 8717 9854 11212 17434 19708 22424 34868 36439 39416 64469 69736 72878 113321 128938 145756 226642 257876 291512 453284 515752 838097 906568 1062337 1676194 2124674 3352388 4249348 6704776 8498696 13810381 24433751 27620762 48867502 55241524 97735004 110483048 195470008 317638763 635277526 1270555052 2541110104