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131404355122005 = 32575927192600387
BaseRepresentation
bin11101111000001011110101…
…111010001011001101010101
3122020021010121102221012111200
4131320023311322023031111
5114210412104402401010
61143250154414023113
736451436263244310
oct3570136572131525
9566233542835450
10131404355122005
11389623018420a9
12128a30647a7a99
1358424ba53b114
14246400cd5d977
15102d1dec29cc0
hex7782f5e8b355

131404355122005 has 96 divisors (see below), whose sum is σ = 264815192678400. Its totient is φ = 59030676084096.

The previous prime is 131404355121961. The next prime is 131404355122013. The reversal of 131404355122005 is 500221553404131.

131404355122005 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 435 + 5 + 12 + 200 + 5 = 666.

It is not a de Polignac number, because 131404355122005 - 212 = 131404355117909 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49232422 + ... + 51832808.

It is an arithmetic number, because the mean of its divisors is an integer number (2758491590400).

Almost surely, 2131404355122005 is an apocalyptic number.

131404355122005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131404355122005 is an abundant number, since it is smaller than the sum of its proper divisors (133410837556395).

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

131404355122005 is a wasteful number, since it uses less digits than its factorization.

131404355122005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603183 (or 2603180 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 131404355122005 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred fifty-five million, one hundred twenty-two thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 59 63 105 177 295 315 413 531 885 1239 2065 2655 2719 3717 6195 8157 13595 18585 19033 24471 40785 57099 95165 122355 160421 171297 285495 481263 802105 856485 1122947 1443789 2406315 2600387 3368841 5614735 7218945 7801161 10106523 13001935 16844205 18202709 23403483 39005805 50532615 54608127 91013545 117017415 153422833 163824381 273040635 460268499 767114165 819121905 1073959831 1380805497 2301342495 3221879493 5369799155 6904027485 7070452253 9665638479 16109397465 21211356759 35352261265 48328192395 49493165771 63634070277 106056783795 148479497313 247465828855 318170351385 417156682927 445438491939 742397486565 1251470048781 2085783414635 2227192459695 2920096780489 3754410146343 6257350243905 8760290341467 14600483902445 18772050731715 26280871024401 43801451707335 131404355122005