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131323003311000 = 23353163268554199
BaseRepresentation
bin11101110111000000000100…
…111101101001001110011000
3122012222100121220011000102110
4131313000010331221032120
5114203044002321423000
61143144542130232320
736442526305252614
oct3567000475511630
9565870556130373
10131323003311000
1138930855870446
121288b3401256a0
13583792432a847
1424600d2858344
15102b02cc34850
hex777004f69398

131323003311000 has 128 divisors (see below), whose sum is σ = 412241439168000. Its totient is φ = 34804624060800.

The previous prime is 131323003310963. The next prime is 131323003311079. The reversal of 131323003311000 is 113300323131.

131323003311000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133788100 + ... + 134766099.

It is an arithmetic number, because the mean of its divisors is an integer number (3220636243500).

Almost surely, 2131323003311000 is an apocalyptic number.

131323003311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131323003311000 is an abundant number, since it is smaller than the sum of its proper divisors (280918435857000).

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

131323003311000 is a wasteful number, since it uses less digits than its factorization.

131323003311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268554386 (or 268554372 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131323003311000 its reverse (113300323131), we get a palindrome (131436303634131).

The spelling of 131323003311000 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, three million, three hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 163 200 250 300 326 375 489 500 600 652 750 815 978 1000 1304 1500 1630 1956 2445 3000 3260 3912 4075 4890 6520 8150 9780 12225 16300 19560 20375 24450 32600 40750 48900 61125 81500 97800 122250 163000 244500 489000 268554199 537108398 805662597 1074216796 1342770995 1611325194 2148433592 2685541990 3222650388 4028312985 5371083980 6445300776 6713854975 8056625970 10742167960 13427709950 16113251940 20141564925 26855419900 32226503880 33569274875 40283129850 43774334437 53710839800 67138549750 80566259700 87548668874 100707824625 131323003311 134277099500 161132519400 175097337748 201415649250 218871672185 262646006622 268554199000 350194675496 402831298500 437743344370 525292013244 656615016555 805662597000 875486688740 1050584026488 1094358360925 1313230033110 1750973377480 2188716721850 2626460066220 3283075082775 4377433443700 5252920132440 5471791804625 6566150165550 8754866887400 10943583609250 13132300331100 16415375413875 21887167218500 26264600662200 32830750827750 43774334437000 65661501655500 131323003311000