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131524312554050 = 25213648131221277
BaseRepresentation
bin11101111001111011100011…
…111011011101101001000010
3122020200121020111000010202012
4131321323203323131221002
5114214343243003212200
61143421233550052522
736463214034505013
oct3571734373355102
9566617214003665
10131524312554050
11389a9169672299
12129023621aa142
1358508c696cb40
142469b4c78500a
1510313b10c2a35
hex779ee3edda42

131524312554050 has 48 divisors (see below), whose sum is σ = 263493973842792. Its totient is φ = 48555328435200.

The previous prime is 131524312554049. The next prime is 131524312554067. The reversal of 131524312554050 is 50455213425131.

It can be written as a sum of positive squares in 12 ways, for example, as 948966274201 + 130575346279849 = 974149^2 + 11426957^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131524312553989 and 131524312554007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11397989 + ... + 19823288.

Almost surely, 2131524312554050 is an apocalyptic number.

131524312554050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131524312554050 is an abundant number, since it is smaller than the sum of its proper divisors (131969661288742).

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

131524312554050 is a wasteful number, since it uses less digits than its factorization.

131524312554050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31227783 (or 31227778 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

Adding to 131524312554050 its reverse (50455213425131), we get a palindrome (181979525979181).

The spelling of 131524312554050 in words is "one hundred thirty-one trillion, five hundred twenty-four billion, three hundred twelve million, five hundred fifty-four thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 650 6481 12962 32405 64810 84253 162025 168506 324050 421265 842530 2106325 4212650 31221277 62442554 156106385 312212770 405876601 780531925 811753202 1561063850 2029383005 4058766010 10146915025 20293830050 202345096237 404690192474 1011725481185 2023450962370 2630486251081 5058627405925 5260972502162 10117254811850 13152431255405 26304862510810 65762156277025 131524312554050