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2001313242404 = 2272193743337781
BaseRepresentation
bin11101000111110111100…
…100001001110100100100
321002022201221221110212122
4131013313210021310210
5230242142142224104
64131220212205112
7264406256611100
oct35076744116444
97068657843778
102001313242404
11701830173293
12283a4b909798
13116952657998
146cc1505a900
15370d34366be
hex1d1f7909d24

2001313242404 has 144 divisors (see below), whose sum is σ = 4506876601920. Its totient is φ = 772213720320.

The previous prime is 2001313242391. The next prime is 2001313242407. The reversal of 2001313242404 is 4042423131002.

It is a super-2 number, since 2×20013132424042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001313242407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5755994 + ... + 6093774.

It is an arithmetic number, because the mean of its divisors is an integer number (31297754180).

Almost surely, 22001313242404 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 2001313242404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253438300960).

2001313242404 is an abundant number, since it is smaller than the sum of its proper divisors (2505563359516).

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

2001313242404 is a wasteful number, since it uses less digits than its factorization.

2001313242404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337898 (or 337889 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2001313242404 its reverse (4042423131002), we get a palindrome (6043736373406).

The spelling of 2001313242404 in words is "two trillion, one billion, three hundred thirteen million, two hundred forty-two thousand, four hundred four".

Divisors: 1 2 4 7 14 19 28 37 38 43 49 74 76 86 98 133 148 172 196 259 266 301 518 532 602 703 817 931 1036 1204 1406 1591 1634 1813 1862 2107 2812 3182 3268 3626 3724 4214 4921 5719 6364 7252 8428 9842 11137 11438 19684 22274 22876 30229 34447 40033 44548 60458 68894 77959 80066 120916 137788 155918 160132 211603 311836 337781 423206 675562 846412 1351124 1481221 2364467 2962442 4728934 5924884 6417839 9457868 12497897 12835678 14524583 16551269 24995794 25671356 29049166 33102538 44924873 49991588 58098332 66205076 87485279 89849746 101672081 174970558 179699492 203344162 237460043 275967077 314474111 349941116 406688324 474920086 537409571 551934154 612396953 628948222 711704567 949840172 1074819142 1103868308 1224793906 1257896444 1423409134 1662220301 1931769539 2149638284 2449587812 2846818268 3324440602 3761866997 3863539078 6648881204 7523733994 7727078156 10210781849 11635542107 13522386773 15047467988 20421563698 23271084214 26333068979 27044773546 40843127396 46542168428 52666137958 54089547092 71475472943 105332275916 142950945886 285901891772 500328310601 1000656621202 2001313242404