Search a number
-
+
41013225133212 = 223231317211157307
BaseRepresentation
bin10010101001101001000101…
…01101110001010010011100
312101012211022011202210222010
421110310202231301102130
520333430041113230322
6223121114315151220
711432051644423323
oct1124644255612234
9171184264683863
1041013225133212
111208267a414322
12472477a145510
1319b66b877bcc7
14a1b09d1330ba
154b1cac55620c
hex254d22b7149c

41013225133212 has 96 divisors (see below), whose sum is σ = 100635157776384. Its totient is φ = 12974976414400.

The previous prime is 41013225133211. The next prime is 41013225133213. The reversal of 41013225133212 is 21233152231014.

It is an interprime number because it is at equal distance from previous prime (41013225133211) and next prime (41013225133213).

It is a self number, because there is not a number n which added to its sum of digits gives 41013225133212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41013225133211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260642263 + ... + 260799569.

It is an arithmetic number, because the mean of its divisors is an integer number (1048282893504).

Almost surely, 241013225133212 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 41013225133212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50317578888192).

41013225133212 is an abundant number, since it is smaller than the sum of its proper divisors (59621932643172).

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

41013225133212 is a wasteful number, since it uses less digits than its factorization.

41013225133212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164679 (or 164677 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 41013225133212 its reverse (21233152231014), we get a palindrome (62246377364226).

The spelling of 41013225133212 in words is "forty-one trillion, thirteen billion, two hundred twenty-five million, one hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 131 138 262 276 393 524 786 1572 3013 6026 7211 9039 12052 14422 18078 21633 28844 36156 43266 86532 157307 165853 314614 331706 471921 497559 629228 663412 943842 944641 995118 1887684 1889282 1990236 2833923 3618061 3778564 5667846 7236122 10854183 11335692 14472244 20607217 21708366 21726743 41214434 43416732 43453486 61821651 65180229 82428868 86906972 123643302 130360458 247286604 260720916 473965991 947931982 1134340777 1421897973 1895863964 2268681554 2843795946 3403022331 4537363108 5687591892 6806044662 13612089324 26089837871 52179675742 78269513613 104359351484 148598641787 156539027226 297197283574 313078054452 445795925361 594394567148 891591850722 1783183701444 3417768761101 6835537522202 10253306283303 13671075044404 20506612566606 41013225133212