Search a number
-
+
20044113100 = 22521131358217
BaseRepresentation
bin10010101010101110…
…001110010011001100
31220201220112110001021
4102222232032103030
5312022243104400
613112542523524
71306466102344
oct225256162314
956656473037
1020044113100
118556419930
123a748965a4
131b7588166b
14d820c9d24
157c4a8171a
hex4aab8e4cc

20044113100 has 72 divisors (see below), whose sum is σ = 47602297008. Its totient is φ = 7265356800.

The previous prime is 20044113091. The next prime is 20044113113. The reversal of 20044113100 is 131144002.

It is a super-2 number, since 2×200441131002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315192 + ... + 373408.

It is an arithmetic number, because the mean of its divisors is an integer number (661143014).

Almost surely, 220044113100 is an apocalyptic number.

20044113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20044113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23801148504).

20044113100 is an abundant number, since it is smaller than the sum of its proper divisors (27558183908).

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

20044113100 is a wasteful number, since it uses less digits than its factorization.

20044113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58555 (or 58548 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20044113100 its reverse (131144002), we get a palindrome (20175257102).

The spelling of 20044113100 in words is "twenty billion, forty-four million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 313 550 626 1100 1252 1565 3130 3443 6260 6886 7825 13772 15650 17215 31300 34430 58217 68860 86075 116434 172150 232868 291085 344300 582170 640387 1164340 1280774 1455425 2561548 2910850 3201935 5821700 6403870 12807740 16009675 18221921 32019350 36443842 64038700 72887684 91109605 182219210 200441131 364438420 400882262 455548025 801764524 911096050 1002205655 1822192100 2004411310 4008822620 5011028275 10022056550 20044113100