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13104442513035 = 335174315568811
BaseRepresentation
bin1011111010110001110110…
…1001000001011010001011
31201101202212010111220202000
42332230131221001122023
53204200344240404120
643512033042042043
72521523205331056
oct276543551013213
951352763456660
1013104442513035
1141a2621191675
12157788b349323
137409889944a3
143343890a9a9d
1517ad23906990
hexbeb1da4168b

13104442513035 has 32 divisors (see below), whose sum is σ = 23298127388160. Its totient is φ = 6988633797600.

The previous prime is 13104442513027. The next prime is 13104442513061. The reversal of 13104442513035 is 53031524440131.

13104442513035 is a `hidden beast` number, since 1 + 3 + 104 + 4 + 4 + 2 + 513 + 0 + 35 = 666.

It is not a de Polignac number, because 13104442513035 - 23 = 13104442513027 is a prime.

It is a super-2 number, since 2×131044425130352 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431221 + ... + 5137590.

It is an arithmetic number, because the mean of its divisors is an integer number (728066480880).

Almost surely, 213104442513035 is an apocalyptic number.

13104442513035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13104442513035 is a deficient number, since it is larger than the sum of its proper divisors (10193684875125).

13104442513035 is a wasteful number, since it uses less digits than its factorization.

13104442513035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586256 (or 5586250 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13104442513035 its reverse (53031524440131), we get a palindrome (66135966953166).

The spelling of 13104442513035 in words is "thirteen trillion, one hundred four billion, four hundred forty-two million, five hundred thirteen thousand, thirty-five".

Divisors: 1 3 5 9 15 27 45 135 17431 52293 87155 156879 261465 470637 784395 2353185 5568811 16706433 27844055 50119299 83532165 150357897 250596495 751789485 97069944541 291209833623 485349722705 873629500869 1456049168115 2620888502607 4368147504345 13104442513035