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131442410104535 = 5101222712978753
BaseRepresentation
bin11101111000101111010010…
…001010011010011011010111
3122020101202211120002121122002
4131320233102022122123113
5114212023023441321120
61143315450512225515
736454254312252245
oct3570572212323327
9566352746077562
10131442410104535
113897745a897792
12128aa50523b29b
135845c7365756a
142465bbd0a5795
15102e1baab0375
hex778bd229a6d7

131442410104535 has 48 divisors (see below), whose sum is σ = 160151507844768. Its totient is φ = 103562401996800.

The previous prime is 131442410104513. The next prime is 131442410104633. The reversal of 131442410104535 is 535401014244131.

It is a de Polignac number, because none of the positive numbers 2k-131442410104535 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15016836719 + ... + 15016845471.

It is an arithmetic number, because the mean of its divisors is an integer number (3336489746766).

Almost surely, 2131442410104535 is an apocalyptic number.

131442410104535 is a deficient number, since it is larger than the sum of its proper divisors (28709097740233).

131442410104535 is a wasteful number, since it uses less digits than its factorization.

131442410104535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10383 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 131442410104535 its reverse (535401014244131), we get a palindrome (666843424348666).

The spelling of 131442410104535 in words is "one hundred thirty-one trillion, four hundred forty-two billion, four hundred ten million, one hundred four thousand, five hundred thirty-five".

Divisors: 1 5 101 227 505 1135 1297 6485 8753 10201 22927 43765 51005 114635 130997 294419 654985 884053 1472095 1986931 2315627 4420265 9934655 11352641 11578135 13230697 29736319 56763205 66153485 89289353 148681595 200680031 446446765 1003400155 1146616741 2577049507 3003368219 5733083705 12885247535 15016841095 20268683131 101343415655 115808290841 260282000207 579041454205 1301410001035 26288482020907 131442410104535