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13105666605 = 3517419712923
BaseRepresentation
bin11000011010010100…
…01001101000101101
31020211100121211210110
430031022021220231
5203320022312410
610004243530233
7642525220353
oct141512115055
936740554713
1013105666605
115615897329
122659089979
13130b24a815
148c47d37d3
1551a875720
hex30d289a2d

13105666605 has 64 divisors (see below), whose sum is σ = 22980319488. Its totient is φ = 6351421440.

The previous prime is 13105666603. The next prime is 13105666621. The reversal of 13105666605 is 50666650131.

It is not a de Polignac number, because 13105666605 - 21 = 13105666603 is a prime.

It is a super-2 number, since 2×131056666052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105666601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1007674 + ... + 1020596.

It is an arithmetic number, because the mean of its divisors is an integer number (359067492).

Almost surely, 213105666605 is an apocalyptic number.

13105666605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13105666605 is a deficient number, since it is larger than the sum of its proper divisors (9874652883).

13105666605 is a wasteful number, since it uses less digits than its factorization.

13105666605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13086.

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 13105666605 in words is "thirteen billion, one hundred five million, six hundred sixty-six thousand, six hundred five".

Divisors: 1 3 5 15 17 41 51 85 97 123 205 255 291 485 615 697 1455 1649 2091 3485 3977 4947 8245 10455 11931 12923 19885 24735 38769 59655 64615 67609 193845 202827 219691 338045 529843 659073 1014135 1098455 1253531 1589529 2649215 3295365 3760593 6267655 7947645 9007331 18802965 21310027 27021993 45036655 51394771 63930081 106550135 135109965 154184313 256973855 319650405 770921565 873711107 2621133321 4368555535 13105666605