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131441522030505 = 32523227977557059
BaseRepresentation
bin11101111000101110011101…
…001110101011011110101001
3122020101200112200000210002100
4131320232131032223132221
5114212014214114434010
61143315222425524013
736454223306614161
oct3570563516533651
9566350480023070
10131441522030505
1138977044570605
12128aa2b7943609
135845b6167827b
142465b371715a1
15102e167b3c2c0
hex778b9d3ab7a9

131441522030505 has 48 divisors (see below), whose sum is σ = 237739179000960. Its totient is φ = 67053811233024.

The previous prime is 131441522030461. The next prime is 131441522030519. The reversal of 131441522030505 is 505030225144131.

131441522030505 is a `hidden beast` number, since 1 + 3 + 1 + 441 + 5 + 2 + 203 + 0 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 131441522030505 - 225 = 131441488476073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131441522030505.

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 47 ways as a sum of consecutive naturals, for example, 235677666 + ... + 236234724.

It is an arithmetic number, because the mean of its divisors is an integer number (4952899562520).

Almost surely, 2131441522030505 is an apocalyptic number.

131441522030505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131441522030505 is a deficient number, since it is larger than the sum of its proper divisors (106297656970455).

131441522030505 is a wasteful number, since it uses less digits than its factorization.

131441522030505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785070 (or 785067 counting only the distinct ones).

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

Adding to 131441522030505 its reverse (505030225144131), we get a palindrome (636471747174636).

The spelling of 131441522030505 in words is "one hundred thirty-one trillion, four hundred forty-one billion, five hundred twenty-two million, thirty thousand, five hundred five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 227977 557059 683931 1139885 1671177 2051793 2785295 3419655 5013531 5243471 8355885 10258965 12812357 15730413 25067655 26217355 38437071 47191239 64061785 78652065 115311213 192185355 235956195 576556065 126996639643 380989918929 634983198215 1142969756787 1904949594645 2920922711789 5714848783935 8762768135367 14604613558945 26288304406101 43813840676835 131441522030505