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241301325471700 = 2252134313613171683
BaseRepresentation
bin110110110111011001010111…
…110010011101111111010100
31011122101011220021000110110111
4312313121113302131333110
5223111440103310043300
62213112144254532404
7101553305535362014
oct6667312762357724
91148334807013414
10241301325471700
116a98235457506a
1223091991807104
13a484804436850
144383091719c44
151cd6c042539ba
hexdb7657c9dfd4

241301325471700 has 144 divisors (see below), whose sum is σ = 577440798048576. Its totient is φ = 86959908403200.

The previous prime is 241301325471637. The next prime is 241301325471709. The reversal of 241301325471700 is 7174523103142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241301325471709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74494059 + ... + 77665741.

It is an arithmetic number, because the mean of its divisors is an integer number (4010005542004).

Almost surely, 2241301325471700 is an apocalyptic number.

241301325471700 is a gapful number since it is divisible by the number (20) 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 241301325471700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288720399024288).

241301325471700 is an abundant number, since it is smaller than the sum of its proper divisors (336139472576876).

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

241301325471700 is a wasteful number, since it uses less digits than its factorization.

241301325471700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173114 (or 3173107 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

Adding to 241301325471700 its reverse (7174523103142), we get a palindrome (248475848574842).

The spelling of 241301325471700 in words is "two hundred forty-one trillion, three hundred one billion, three hundred twenty-five million, four hundred seventy-one thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 130 172 215 260 325 430 559 650 860 1075 1118 1300 1361 2150 2236 2722 2795 4300 5444 5590 6805 11180 13610 13975 17693 27220 27950 34025 35386 55900 58523 68050 70772 88465 117046 136100 176930 234092 292615 353860 442325 585230 760799 884650 1170460 1463075 1521598 1769300 2926150 3043196 3171683 3803995 5852300 6343366 7607990 12686732 15215980 15858415 19019975 31716830 38039950 41231879 63433660 76079900 79292075 82463758 136382369 158584150 164927516 206159395 272764738 317168300 412318790 545529476 681911845 824637580 1030796975 1363823690 1772970797 2061593950 2727647380 3409559225 3545941594 4123187900 4316660563 6819118450 7091883188 8633321126 8864853985 13638236900 17266642252 17729707970 21583302815 35459415940 43166605630 44324269925 56116587319 86333211260 88648539850 107916514075 112233174638 177297079700 185616404209 215833028150 224466349276 280582936595 371232808418 431666056300 561165873190 742465616836 928082021045 1122331746380 1402914682975 1856164042090 2413013254717 2805829365950 3712328084180 4640410105225 4826026509434 5611658731900 9280820210450 9652053018868 12065066273585 18561640420900 24130132547170 48260265094340 60325331367925 120650662735850 241301325471700