Search a number
-
+
41300124100 = 22524119751133
BaseRepresentation
bin100110011101101011…
…011110000111000100
310221121021110200110221
4212131223132013010
51134040312432400
630550100554124
72661312156034
oct463553360704
9127537420427
1041300124100
1116573930574
1280073b2944
133b82531b71
141ddb1218c4
15111abedc1a
hex99dade1c4

41300124100 has 72 divisors (see below), whose sum is σ = 92274984648. Its totient is φ = 16034995200.

The previous prime is 41300124083. The next prime is 41300124101. The reversal of 41300124100 is 142100314.

It can be written as a sum of positive squares in 12 ways, for example, as 3465205956 + 37834918144 = 58866^2 + 194512^2 .

It is not an unprimeable number, because it can be changed into a prime (41300124101) 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 23 ways as a sum of consecutive naturals, for example, 782134 + ... + 833266.

It is an arithmetic number, because the mean of its divisors is an integer number (1281597009).

Almost surely, 241300124100 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 41300124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46137492324).

41300124100 is an abundant number, since it is smaller than the sum of its proper divisors (50974860548).

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

41300124100 is a wasteful number, since it uses less digits than its factorization.

41300124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51385 (or 51378 counting only the distinct ones).

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

Adding to 41300124100 its reverse (142100314), we get a palindrome (41442224414).

The spelling of 41300124100 in words is "forty-one billion, three hundred million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 197 205 394 410 788 820 985 1025 1970 2050 3940 4100 4925 8077 9850 16154 19700 32308 40385 51133 80770 102266 161540 201925 204532 255665 403850 511330 807700 1022660 1278325 2096453 2556650 4192906 5113300 8385812 10073201 10482265 20146402 20964530 40292804 41929060 50366005 52411325 100732010 104822650 201464020 209645300 251830025 413001241 503660050 826002482 1007320100 1652004964 2065006205 4130012410 8260024820 10325031025 20650062050 41300124100