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131104243332100 = 225223104954339223
BaseRepresentation
bin11101110011110100010101…
…110110100011010000000100
3122012012102222010122122211201
4131303310111312203100010
5114141002442243111400
61142500242524512244
736420653240153563
oct3563642566432004
9565172863578751
10131104243332100
1138856aa7531455
1212854a699ab684
1358201004cb54c
14245369d03bbda
1510254c783806a
hex773d15da3404

131104243332100 has 72 divisors (see below), whose sum is σ = 297148612521600. Its totient is φ = 50113804097280.

The previous prime is 131104243332091. The next prime is 131104243332103. The reversal of 131104243332100 is 1233342401131.

It is not an unprimeable number, because it can be changed into a prime (131104243332103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24756912 + ... + 29582311.

It is an arithmetic number, because the mean of its divisors is an integer number (4127064062800).

Almost surely, 2131104243332100 is an apocalyptic number.

131104243332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131104243332100 is an abundant number, since it is smaller than the sum of its proper divisors (166044369189500).

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

131104243332100 is a wasteful number, since it uses less digits than its factorization.

131104243332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54340309 (or 54340302 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131104243332100 its reverse (1233342401131), we get a palindrome (132337585733231).

The spelling of 131104243332100 in words is "one hundred thirty-one trillion, one hundred four billion, two hundred forty-three million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1049 1150 2098 2300 4196 5245 10490 20980 24127 26225 48254 52450 96508 104900 120635 241270 482540 603175 1206350 2412700 54339223 108678446 217356892 271696115 543392230 1086784460 1249802129 1358480575 2499604258 2716961150 4999208516 5433922300 6249010645 12498021290 24996042580 31245053225 57001844927 62490106450 114003689854 124980212900 228007379708 285009224635 570018449270 1140036898540 1311042433321 1425046123175 2622084866642 2850092246350 5244169733284 5700184492700 6555212166605 13110424333210 26220848666420 32776060833025 65552121666050 131104243332100