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131431723573000 = 2353435357670787
BaseRepresentation
bin11101111000100101010101…
…001100100001111100001000
3122020100202020210111120021211
4131320211111030201330020
5114211334132213314000
61143310522242542504
736453425430242524
oct3570452514417410
9566322223446254
10131431723573000
11389729765a2444
12128a8422367a34
135844c5c665216
142465487ab2d84
15102dc927e07ba
hex778955321f08

131431723573000 has 128 divisors (see below), whose sum is σ = 320640353953920. Its totient is φ = 50381198649600.

The previous prime is 131431723572977. The next prime is 131431723573013. The reversal of 131431723573000 is 375327134131.

131431723573000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1314317235730002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 26556394 + ... + 31114393.

It is an arithmetic number, because the mean of its divisors is an integer number (2505002765265).

Almost surely, 2131431723573000 is an apocalyptic number.

131431723573000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131431723573000 is an abundant number, since it is smaller than the sum of its proper divisors (189208630380920).

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

131431723573000 is a wasteful number, since it uses less digits than its factorization.

131431723573000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57670904 (or 57670890 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 40.

The spelling of 131431723573000 in words is "one hundred thirty-one trillion, four hundred thirty-one billion, seven hundred twenty-three million, five hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 53 86 100 106 125 172 200 212 215 250 265 344 424 430 500 530 860 1000 1060 1075 1325 1720 2120 2150 2279 2650 4300 4558 5300 5375 6625 8600 9116 10600 10750 11395 13250 18232 21500 22790 26500 43000 45580 53000 56975 91160 113950 227900 284875 455800 569750 1139500 2279000 57670787 115341574 230683148 288353935 461366296 576707870 1153415740 1441769675 2306831480 2479843841 2883539350 3056551711 4959687682 5767078700 6113103422 7208848375 9919375364 11534157400 12226206844 12399219205 14417696750 15282758555 19838750728 24452413688 24798438410 28835393500 30565517110 49596876820 57670787000 61131034220 61996096025 76413792775 99193753640 122262068440 123992192050 131431723573 152827585550 247984384100 262863447146 305655171100 309980480125 382068963875 495968768200 525726894292 611310342200 619960960250 657158617865 764137927750 1051453788584 1239921920500 1314317235730 1528275855500 2479843841000 2628634471460 3056551711000 3285793089325 5257268942920 6571586178650 13143172357300 16428965446625 26286344714600 32857930893250 65715861786500 131431723573000