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13131022300024 = 2317472937011229
BaseRepresentation
bin1011111100010100110111…
…1010110111001101111000
31201111022110112001222220011
42333011031322313031320
53210114313202100044
643532150335111304
72523453654645316
oct277051572671570
951438415058804
1013131022300024
114202920843a82
121580a68972534
137433335a73b5
1433578b1a50b6
1517b87c134134
hexbf14deb7378

13131022300024 has 64 divisors (see below), whose sum is σ = 26714468995200. Its totient is φ = 6027188127744.

The previous prime is 13131022300013. The next prime is 13131022300037. The reversal of 13131022300024 is 42000322013131.

It is a junction number, because it is equal to n+sod(n) for n = 13131022299968 and 13131022300004.

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, 1632759 + ... + 5378470.

It is an arithmetic number, because the mean of its divisors is an integer number (417413578050).

Almost surely, 213131022300024 is an apocalyptic number.

It is an amenable number.

13131022300024 is an abundant number, since it is smaller than the sum of its proper divisors (13583446695176).

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

13131022300024 is a wasteful number, since it uses less digits than its factorization.

13131022300024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7011592 (or 7011588 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13131022300024 its reverse (42000322013131), we get a palindrome (55131344313155).

The spelling of 13131022300024 in words is "thirteen trillion, one hundred thirty-one billion, twenty-two million, three hundred thousand, twenty-four".

Divisors: 1 2 4 8 17 34 47 68 94 136 188 293 376 586 799 1172 1598 2344 3196 4981 6392 9962 13771 19924 27542 39848 55084 110168 234107 468214 936428 1872856 7011229 14022458 28044916 56089832 119190893 238381786 329527763 476763572 659055526 953527144 1318111052 2054290097 2636222104 4108580194 5601971971 8217160388 11203943942 16434320776 22407887884 34922931649 44815775768 69845863298 96551634559 139691726596 193103269118 279383453192 386206538236 772413076472 1641377787503 3282755575006 6565511150012 13131022300024