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11245135105125 = 335315461215503
BaseRepresentation
bin1010001110100011011001…
…0010001000110001100101
31110211000122210121021021000
42203220312102020301211
52433220014041331000
635525535503343513
72240301634201155
oct243506622106145
943730583537230
1011245135105125
113646042674689
121317470bb1b99
1363754763970c
142ac3a5c14765
151477a2358000
hexa3a36488c65

11245135105125 has 64 divisors (see below), whose sum is σ = 20792446571520. Its totient is φ = 5996989656000.

The previous prime is 11245135105111. The next prime is 11245135105201. The reversal of 11245135105125 is 52150153154211.

11245135105125 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 5 + 13 + 510 + 5 + 125 = 666.

It is not a de Polignac number, because 11245135105125 - 27 = 11245135104997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11245135105125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52073124 + ... + 52288626.

It is an arithmetic number, because the mean of its divisors is an integer number (324881977680).

Almost surely, 211245135105125 is an apocalyptic number.

11245135105125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11245135105125 is a deficient number, since it is larger than the sum of its proper divisors (9547311466395).

11245135105125 is a wasteful number, since it uses less digits than its factorization.

11245135105125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230988 (or 230972 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

Adding to 11245135105125 its reverse (52150153154211), we get a palindrome (63395288259336).

The spelling of 11245135105125 in words is "eleven trillion, two hundred forty-five billion, one hundred thirty-five million, one hundred five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 375 675 1125 3375 15461 46383 77305 139149 215503 231915 386525 417447 646509 695745 1077515 1159575 1932625 1939527 2087235 3232545 3478725 5387575 5797875 5818581 9697635 10436175 16162725 17393625 26937875 29092905 48488175 52180875 80813625 145464525 242440875 727322625 3331891883 9995675649 16659459415 29987026947 49978378245 83297297075 89961080841 149935134735 249891891225 416486485375 449805404205 749675673675 1249459456125 2249027021025 3748378368375 11245135105125