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131121304512440 = 23511436930301507
BaseRepresentation
bin11101110100000100001110…
…110001110010011110111000
3122012021002000011021102101212
4131310010032301302132320
5114141242412423344230
61142512143513102252
736422126105616254
oct3564041661623670
9565232004242355
10131121304512440
11388632620877a0
121285822b6b7988
1358218bc092c28
14245443acc5264
151025b75597895
hex77410ec727b8

131121304512440 has 64 divisors (see below), whose sum is σ = 329327927660160. Its totient is φ = 46571626120320.

The previous prime is 131121304512379. The next prime is 131121304512463. The reversal of 131121304512440 is 44215403121131.

It is a super-2 number, since 2×1311213045124402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131121304512397 and 131121304512406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3465131834 + ... + 3465169673.

It is an arithmetic number, because the mean of its divisors is an integer number (5145748869690).

Almost surely, 2131121304512440 is an apocalyptic number.

131121304512440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131121304512440 is an abundant number, since it is smaller than the sum of its proper divisors (198206623147720).

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

131121304512440 is a wasteful number, since it uses less digits than its factorization.

131121304512440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6930301572 (or 6930301568 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 131121304512440 its reverse (44215403121131), we get a palindrome (175336707633571).

The spelling of 131121304512440 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, three hundred four million, five hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 9460 18920 6930301507 13860603014 27721206028 34651507535 55442412056 69303015070 76233316577 138606030140 152466633154 277212060280 298002964801 304933266308 381166582885 596005929602 609866532616 762333165770 1192011859204 1490014824005 1524666331540 2384023718408 2980029648010 3049332663080 3278032612811 5960059296020 6556065225622 11920118592040 13112130451244 16390163064055 26224260902488 32780326128110 65560652256220 131121304512440