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41131242222 = 237531011131619
BaseRepresentation
bin100110010011100111…
…001111001011101110
310221011111200121002120
4212103213033023232
51133214044222342
630521225133410
72654161535040
oct462347171356
9127144617076
1041131242222
1116497572074
127b7a92a266
133b56551765
141dc291da90
15110ae8eaec
hex9939cf2ee

41131242222 has 128 divisors (see below), whose sum is σ = 97652874240. Its totient is φ = 11307878400.

The previous prime is 41131242209. The next prime is 41131242253. The reversal of 41131242222 is 22224213114.

It is a junction number, because it is equal to n+sod(n) for n = 41131242192 and 41131242201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25404529 + ... + 25406147.

It is an arithmetic number, because the mean of its divisors is an integer number (762913080).

Almost surely, 241131242222 is an apocalyptic number.

41131242222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41131242222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48826437120).

41131242222 is an abundant number, since it is smaller than the sum of its proper divisors (56521632018).

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

41131242222 is a wasteful number, since it uses less digits than its factorization.

41131242222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898.

The product of its digits is 1536, while the sum is 24.

Adding to 41131242222 its reverse (22224213114), we get a palindrome (63355455336).

The spelling of 41131242222 in words is "forty-one billion, one hundred thirty-one million, two hundred forty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 53 101 106 113 159 202 226 303 318 339 371 606 678 707 742 791 1113 1414 1582 1619 2121 2226 2373 3238 4242 4746 4857 5353 5989 9714 10706 11333 11413 11978 16059 17967 22666 22826 32118 33999 34239 35934 37471 41923 67998 68478 74942 79891 83846 85807 112413 125769 159782 163519 171614 182947 224826 239673 251538 257421 327038 365894 479346 490557 514842 548841 600649 604889 981114 1097682 1144633 1201298 1209778 1280629 1801947 1814667 2289266 2561258 3433899 3603894 3629334 3841887 4234223 6867798 7683774 8468446 8666507 9696191 12702669 17333014 18477647 19392382 25405338 25999521 29088573 36955294 51999042 55432941 58177146 60665549 67873337 110865882 121331098 129343529 135746674 181996647 203620011 258687058 363993294 388030587 407240022 776061174 979315291 1958630582 2937945873 5875891746 6855207037 13710414074 20565621111 41131242222