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131140305512205 = 351117156192993299
BaseRepresentation
bin11101110100010101111011…
…010100110110011100001101
3122012022220001101000012221220
4131310111323110312130031
5114142100321202342310
61142525005154313553
736423401010505113
oct3564257324663415
9565286041005856
10131140305512205
1138870322706090
121285ba52b888b9
1358236297c0762
14245532063dab3
1510263d877d670
hex77457b53670d

131140305512205 has 64 divisors (see below), whose sum is σ = 242379713664000. Its totient is φ = 59839140049920.

The previous prime is 131140305512129. The next prime is 131140305512243. The reversal of 131140305512205 is 502215503041131.

It is not a de Polignac number, because 131140305512205 - 210 = 131140305511181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42314646 + ... + 45307944.

It is an arithmetic number, because the mean of its divisors is an integer number (3787183026000).

Almost surely, 2131140305512205 is an apocalyptic number.

131140305512205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131140305512205 is a deficient number, since it is larger than the sum of its proper divisors (111239408151795).

131140305512205 is a wasteful number, since it uses less digits than its factorization.

131140305512205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008954.

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 131140305512205 its reverse (502215503041131), we get a palindrome (633355808553336).

The spelling of 131140305512205 in words is "one hundred thirty-one trillion, one hundred forty billion, three hundred five million, five hundred twelve thousand, two hundred five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2805 15619 46857 78095 171809 234285 265523 515427 796569 859045 1327615 2577135 2920753 2993299 3982845 8762259 8979897 14603765 14966495 32926289 43811295 44899485 50886083 98778867 152658249 164631445 254430415 493894335 559746913 763291245 1679240739 2798734565 8396203695 46752337081 140257011243 233761685405 514275707891 701285056215 794789730377 1542827123673 2384369191131 2571378539455 3973948651885 7714135618365 8742687034147 11921845955655 26228061102441 43713435170735 131140305512205