Search a number
-
+
41131313124 = 2231110122713591
BaseRepresentation
bin100110010011100111…
…100000011111100100
310221011111211012100120
4212103213200133210
51133214104004444
630521230441540
72654162251536
oct462347403744
9127144735316
1041131313124
1116497610370
127b7a9632b0
133b56577b05
141dc293b856
15110aea5b19
hex9939e07e4

41131313124 has 96 divisors (see below), whose sum is σ = 106208105472. Its totient is φ = 12285360000.

The previous prime is 41131313077. The next prime is 41131313161. The reversal of 41131313124 is 42131313114.

It is a happy number.

41131313124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41131313094 and 41131313103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3019569 + ... + 3033159.

It is an arithmetic number, because the mean of its divisors is an integer number (1106334432).

Almost surely, 241131313124 is an apocalyptic number.

41131313124 is a gapful number since it is divisible by the number (44) 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 41131313124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53104052736).

41131313124 is an abundant number, since it is smaller than the sum of its proper divisors (65076792348).

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

41131313124 is a wasteful number, since it uses less digits than its factorization.

41131313124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13937 (or 13935 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 41131313124 its reverse (42131313114), we get a palindrome (83262626238).

The spelling of 41131313124 in words is "forty-one billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 227 303 404 454 606 681 908 1111 1212 1362 2222 2497 2724 3333 4444 4994 6666 7491 9988 13332 13591 14982 22927 27182 29964 40773 45854 54364 68781 81546 91708 137562 149501 163092 252197 275124 299002 448503 504394 598004 756591 897006 1008788 1372691 1513182 1794012 2745382 3026364 3085157 4118073 5490764 6170314 8236146 9255471 12340628 15099601 16472292 18510942 30199202 33936727 37021884 45298803 60398404 67873454 90597606 101810181 135746908 181195212 203620362 311600857 407240724 623201714 934802571 1246403428 1869605142 3427609427 3739210284 6855218854 10282828281 13710437708 20565656562 41131313124