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331013213130320 = 24575091173198993
BaseRepresentation
bin100101101000011100000010…
…0111111000000111001010000
31121102000112221221220100010022
41023100320010333000321100
5321341310030030132240
63132001212033123012
7126502625666525210
oct11320700477007120
91542015857810108
10331013213130320
119651aa08351886
12311606b33b9468
13112915483b51b6
145ba51a6dd4240
15284062eda09b5
hex12d0e04fc0e50

331013213130320 has 160 divisors (see below), whose sum is σ = 881361416759040. Its totient is φ = 113256477941760.

The previous prime is 331013213130307. The next prime is 331013213130331. The reversal of 331013213130320 is 23031312310133.

It is a self number, because there is not a number n which added to its sum of digits gives 331013213130320.

It is a congruent number.

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, 3343754744 + ... + 3343853736.

It is an arithmetic number, because the mean of its divisors is an integer number (5508508854744).

Almost surely, 2331013213130320 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 331013213130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440680708379520).

331013213130320 is an abundant number, since it is smaller than the sum of its proper divisors (550348203628720).

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

331013213130320 is a wasteful number, since it uses less digits than its factorization.

331013213130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111253 (or 111247 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 331013213130320 its reverse (23031312310133), we get a palindrome (354044525440453).

The spelling of 331013213130320 in words is "three hundred thirty-one trillion, thirteen billion, two hundred thirteen million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 509 560 1018 2036 2545 3563 4072 5090 7126 8144 10180 11731 14252 17815 20360 23462 28504 35630 40720 46924 57008 58655 71260 82117 93848 98993 117310 142520 164234 187696 197986 234620 285040 328468 395972 410585 469240 494965 656936 692951 791944 821170 938480 989930 1313872 1385902 1583888 1642340 1979860 2771804 3284680 3464755 3959720 5543608 5971079 6569360 6929510 7919440 11087216 11942158 13859020 23884316 27718040 29855395 41797553 47768632 50387437 55436080 59710790 83595106 95537264 100774874 119421580 167190212 201549748 208987765 238843160 251937185 334380424 352712059 403099496 417975530 477686320 503874370 668760848 705424118 806198992 835951060 1007748740 1161286883 1410848236 1671902120 1763560295 2015497480 2322573766 2821696472 3343804240 3527120590 4030994960 4645147532 5643392944 5806434415 7054241180 8129008181 9290295064 11612868830 14108482360 16258016362 18580590128 23225737660 28216964720 32516032724 40645040905 46451475320 65032065448 81290081810 92902950640 130064130896 162580163620 325160327240 591095023447 650320654480 1182190046894 2364380093788 2955475117235 4137665164129 4728760187576 5910950234470 8275330328258 9457520375152 11821900468940 16550660656516 20688325820645 23643800937880 33101321313032 41376651641290 47287601875760 66202642626064 82753303282580 165506606565160 331013213130320