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13545000117 = 3311196433733
BaseRepresentation
bin11001001110101100…
…00100110010110101
31021221222022022002000
430213112010302311
5210220010000432
610120020205513
7656441413155
oct144726046265
937858268060
1013545000117
115820888080
122760239899
13137b28148c
14926cb6765
1554420857c
hex327584cb5

13545000117 has 64 divisors (see below), whose sum is σ = 23085081600. Its totient is φ = 7762858560.

The previous prime is 13545000089. The next prime is 13545000149. The reversal of 13545000117 is 71100054531.

13545000117 is a `hidden beast` number, since 1 + 3 + 545 + 0 + 0 + 0 + 117 = 666.

13545000117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13545000117 - 28 = 13544999861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13545050117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3626583 + ... + 3630315.

It is an arithmetic number, because the mean of its divisors is an integer number (360704400).

Almost surely, 213545000117 is an apocalyptic number.

It is an amenable number.

13545000117 is a deficient number, since it is larger than the sum of its proper divisors (9540081483).

13545000117 is a wasteful number, since it uses less digits than its factorization.

13545000117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 13545000117 its reverse (71100054531), we get a palindrome (84645054648).

The spelling of 13545000117 in words is "thirteen billion, five hundred forty-five million, one hundred seventeen", and thus it is an aban number.

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 513 627 643 1881 1929 3733 5643 5787 7073 11199 12217 17361 21219 33597 36651 41063 63657 70927 100791 109953 123189 134387 190971 212781 329859 369567 403161 638343 780197 1108701 1209483 1915029 2340591 2400319 3628449 7021773 7200957 21065319 21602871 26403509 45606061 64808613 79210527 136818183 237631581 410454549 501666671 712894743 1231363647 1505000013 4515000039 13545000117