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13031281125 = 3253411511871
BaseRepresentation
bin11000010001011100…
…11001000111100101
31020122011122200002200
430020232121013211
5203142001444000
65553025325113
7640633030152
oct141056310745
936564580080
1013031281125
115587900425
122638196799
1312c8a04b45
148b898d229
15514080500
hex308b991e5

13031281125 has 96 divisors (see below), whose sum is σ = 24236319744. Its totient is φ = 6732000000.

The previous prime is 13031281093. The next prime is 13031281127. The reversal of 13031281125 is 52118213031.

It is not a de Polignac number, because 13031281125 - 25 = 13031281093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031281127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6963940 + ... + 6965810.

It is an arithmetic number, because the mean of its divisors is an integer number (252461664).

Almost surely, 213031281125 is an apocalyptic number.

13031281125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13031281125 is a deficient number, since it is larger than the sum of its proper divisors (11205038619).

13031281125 is a wasteful number, since it uses less digits than its factorization.

13031281125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 13031281125 its reverse (52118213031), we get a palindrome (65149494156).

The spelling of 13031281125 in words is "thirteen billion, thirty-one million, two hundred eighty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 125 151 205 225 369 375 453 615 755 1025 1125 1359 1845 1871 2265 3075 3775 5125 5613 6191 6795 9225 9355 11325 15375 16839 18573 18875 28065 30955 33975 46125 46775 55719 56625 76711 84195 92865 140325 154775 169875 230133 233875 278595 282521 383555 420975 464325 690399 701625 773875 847563 1150665 1392975 1412605 1917775 2104875 2321625 2542689 3451995 4237815 5753325 6964875 7063025 9588875 11583361 12713445 17259975 21189075 28766625 34750083 35315125 57916805 63567225 86299875 104250249 105945375 173750415 289584025 317836125 521251245 868752075 1447920125 2606256225 4343760375 13031281125