Search a number
-
+
2101233344 = 26718125913
BaseRepresentation
bin111110100111110…
…0100011011000000
312102102211201021012
41331033210123000
513300403431334
6544300420052
7103033121510
oct17517443300
95372751235
102101233344
11989100791
124a7847628
13276430352
1415d0cb840
15c470c9ce
hex7d3e46c0

2101233344 has 56 divisors (see below), whose sum is σ = 4791809568. Its totient is φ = 895518720.

The previous prime is 2101233331. The next prime is 2101233349. The reversal of 2101233344 is 4433321012.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (2101233349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68132 + ... + 94044.

It is an arithmetic number, because the mean of its divisors is an integer number (85568028).

Almost surely, 22101233344 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 2101233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395904784).

2101233344 is an abundant number, since it is smaller than the sum of its proper divisors (2690576224).

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

2101233344 is a wasteful number, since it uses less digits than its factorization.

2101233344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26113 (or 26103 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2101233344 is about 45839.2118605894. The cubic root of 2101233344 is about 1280.8298134850.

Adding to 2101233344 its reverse (4433321012), we get a palindrome (6534554356).

The spelling of 2101233344 in words is "two billion, one hundred one million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 181 224 362 448 724 1267 1448 2534 2896 5068 5792 10136 11584 20272 25913 40544 51826 81088 103652 181391 207304 362782 414608 725564 829216 1451128 1658432 2902256 4690253 5804512 9380506 11609024 18761012 32831771 37522024 65663542 75044048 131327084 150088096 262654168 300176192 525308336 1050616672 2101233344