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131404353202045 = 57112317982902601
BaseRepresentation
bin11101111000001011110101…
…110010110110011101111101
3122020021010121022022122211001
4131320023311302312131331
5114210412103404431140
61143250154304530301
736451436241026620
oct3570136562663575
9566233538278731
10131404353202045
1138962300750660
12128a3064020991
1358424ba018251
14246400c9bddb7
15102d1de99ae9a
hex7782f5cb677d

131404353202045 has 64 divisors (see below), whose sum is σ = 206288202608640. Its totient is φ = 77915179584000.

The previous prime is 131404353202043. The next prime is 131404353202061. The reversal of 131404353202045 is 540202353404131.

It is not a de Polignac number, because 131404353202045 - 21 = 131404353202043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131404353201995 and 131404353202013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131404353202043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39866256 + ... + 43036345.

It is an arithmetic number, because the mean of its divisors is an integer number (3223253165760).

Almost surely, 2131404353202045 is an apocalyptic number.

It is an amenable number.

131404353202045 is a deficient number, since it is larger than the sum of its proper divisors (74883849406595).

131404353202045 is a wasteful number, since it uses less digits than its factorization.

131404353202045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82902826.

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 131404353202045 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred fifty-three million, two hundred two thousand, forty-five".

Divisors: 1 5 7 11 23 35 55 77 115 161 179 253 385 805 895 1253 1265 1771 1969 4117 6265 8855 9845 13783 20585 28819 45287 68915 144095 226435 317009 1585045 82902601 414513005 580318207 911928611 1906759823 2901591035 4559643055 6383500277 9533799115 13347318761 14839565579 20974358053 31917501385 66736593805 74197827895 103876959053 104871790265 146820506371 163235221369 341310008317 519384795265 734102531855 816176106845 1142646549583 1706550041585 2389170058219 3754410091487 5713232747915 11945850291095 18772050457435 26280870640409 131404353202045