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131404322020300 = 225272514191784941
BaseRepresentation
bin11101111000001011110011…
…111011111001101111001100
3122020021010112010122110111121
4131320023303323321233030
5114210412022414122200
61143250151232330324
736451435412010010
oct3570136373715714
9566233463573447
10131404322020300
113896229509331a
12128a30556a39a4
1358424b371b404
1424640087c4540
15102d1dbd8be1a
hex7782f3ef9bcc

131404322020300 has 144 divisors (see below), whose sum is σ = 327962101582080. Its totient is φ = 44766295200000.

The previous prime is 131404322020297. The next prime is 131404322020319. The reversal of 131404322020300 is 3020223404131.

It is a super-2 number, since 2×1314043220203002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72725830 + ... + 74510770.

It is an arithmetic number, because the mean of its divisors is an integer number (2277514594320).

Almost surely, 2131404322020300 is an apocalyptic number.

131404322020300 is a gapful number since it is divisible by the number (10) 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 131404322020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163981050791040).

131404322020300 is an abundant number, since it is smaller than the sum of its proper divisors (196557779561780).

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

131404322020300 is a wasteful number, since it uses less digits than its factorization.

131404322020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785632 (or 1785625 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 131404322020300 its reverse (3020223404131), we get a palindrome (134424545424431).

The spelling of 131404322020300 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred twenty-two million, twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 251 350 419 502 700 838 1004 1255 1676 1757 2095 2510 2933 3514 4190 5020 5866 6275 7028 8380 8785 10475 11732 12550 14665 17570 20950 25100 29330 35140 41900 43925 58660 73325 87850 105169 146650 175700 210338 293300 420676 525845 736183 1051690 1472366 1784941 2103380 2629225 2944732 3569882 3680915 5258450 7139764 7361830 8924705 10516900 12494587 14723660 17849410 18404575 24989174 35698820 36809150 44623525 49978348 62472935 73618300 89247050 124945870 178494100 249891740 312364675 448020191 624729350 747890279 896040382 1249458700 1495780558 1792080764 2240100955 2991561116 3136141337 3739451395 4480201910 5235231953 6272282674 7478902790 8960403820 10470463906 11200504775 12544565348 14957805580 15680706685 18697256975 20940927812 22401009550 26176159765 31361413370 37394513950 44802019100 52352319530 62722826740 74789027900 78403533425 104704639060 130880798825 156807066850 187720460029 261761597650 313614133700 375440920058 523523195300 750881840116 938602300145 1314043220203 1877204600290 2628086440406 3754409200580 4693011500725 5256172880812 6570216101015 9386023001450 13140432202030 18772046002900 26280864404060 32851080505075 65702161010150 131404322020300