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41130012 = 22372116359
BaseRepresentation
bin1001110011100…
…1100000011100
32212101121202210
42130321200130
541012130022
64025320420
71006412400
oct234714034
985347683
1041130012
1121242650
1211936110
1386a0cb1
145669100
153926a0c
hex273981c

41130012 has 72 divisors (see below), whose sum is σ = 121806720. Its totient is φ = 10681440.

The previous prime is 41129993. The next prime is 41130013. The reversal of 41130012 is 21003114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 41130012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41130013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3289 + ... + 9647.

It is an arithmetic number, because the mean of its divisors is an integer number (1691760).

Almost surely, 241130012 is an apocalyptic number.

41130012 is a gapful number since it is divisible by the number (42) 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 41130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60903360).

41130012 is an abundant number, since it is smaller than the sum of its proper divisors (80676708).

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

41130012 is a wasteful number, since it uses less digits than its factorization.

41130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6391 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 41130012 is about 6413.2684334901. The cubic root of 41130012 is about 345.1858188236.

Adding to 41130012 its reverse (21003114), we get a palindrome (62133126).

The spelling of 41130012 in words is "forty-one million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6359 6468 12718 19077 25436 38154 44513 69949 76308 89026 133539 139898 178052 209847 267078 279796 311591 419694 489643 534156 623182 839388 934773 979286 1246364 1468929 1869546 1958572 2937858 3427501 3739092 5875716 6855002 10282503 13710004 20565006 41130012