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13330121535 = 335372668693
BaseRepresentation
bin11000110101000100…
…11000001100111111
31021101222222100002000
430122202120030333
5204300002342120
610042422433343
7651222110043
oct143242301477
937358870060
1013330121535
115720562675
122700292853
1313458b7ba3
14906540023
15530410990
hex31a89833f

13330121535 has 32 divisors (see below), whose sum is σ = 24338489280. Its totient is φ = 6917249664.

The previous prime is 13330121533. The next prime is 13330121573. The reversal of 13330121535 is 53512103331.

13330121535 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 121 + 535 = 666.

13330121535 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 13330121535 - 21 = 13330121533 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 13330121499 and 13330121508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330121533) 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 31 ways as a sum of consecutive naturals, for example, 1329352 + ... + 1339341.

It is an arithmetic number, because the mean of its divisors is an integer number (760577790).

Almost surely, 213330121535 is an apocalyptic number.

13330121535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13330121535 is a deficient number, since it is larger than the sum of its proper divisors (11008367745).

13330121535 is a wasteful number, since it uses less digits than its factorization.

13330121535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668744 (or 2668738 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 13330121535 its reverse (53512103331), we get a palindrome (66842224866).

The spelling of 13330121535 in words is "thirteen billion, three hundred thirty million, one hundred twenty-one thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 27 37 45 111 135 185 333 555 999 1665 4995 2668693 8006079 13343465 24018237 40030395 72054711 98741641 120091185 296224923 360273555 493708205 888674769 1481124615 2666024307 4443373845 13330121535