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13105445661 = 3271118911177
BaseRepresentation
bin11000011010010010…
…10011101100011101
31020211100012121201100
430031021103230131
5203314443230121
610004235103313
7642523310250
oct141511235435
936740177640
1013105445661
115615756330
122658ba1b39
13130b1a1099
148c4777097
1551a830026
hex30d253b1d

13105445661 has 24 divisors (see below), whose sum is σ = 23601150144. Its totient is φ = 6808023360.

The previous prime is 13105445659. The next prime is 13105445713. The reversal of 13105445661 is 16654450131.

13105445661 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 544 + 56 + 61 = 666.

13105445661 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 13105445661 - 21 = 13105445659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105445461) 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 23 ways as a sum of consecutive naturals, for example, 9454896 + ... + 9456281.

It is an arithmetic number, because the mean of its divisors is an integer number (983381256).

Almost surely, 213105445661 is an apocalyptic number.

13105445661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13105445661 is a deficient number, since it is larger than the sum of its proper divisors (10495704483).

13105445661 is a wasteful number, since it uses less digits than its factorization.

13105445661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18911201 (or 18911198 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 13105445661 its reverse (16654450131), we get a palindrome (29759895792).

It can be divided in two parts, 131054 and 45661, that added together give a triangular number (176715 = T594).

The spelling of 13105445661 in words is "thirteen billion, one hundred five million, four hundred forty-five thousand, six hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 18911177 56733531 132378239 170200593 208022947 397134717 624068841 1191404151 1456160629 1872206523 4368481887 13105445661