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13105332305433 = 34187786198309
BaseRepresentation
bin1011111010110101001010…
…1011010011111000011001
31201101212011010211001110000
42332231102223103320121
53204204210032233213
643512301225243213
72521554231414024
oct276552253237031
951355133731400
1013105332305433
1141a2a38481895
121577a99333509
13740a9b125974
1433443132a1bb
1517ad76ab8c73
hexbeb52ad3e19

13105332305433 has 20 divisors (see below), whose sum is σ = 19587531567780. Its totient is φ = 8732233393632.

The previous prime is 13105332305407. The next prime is 13105332305449. The reversal of 13105332305433 is 33450323350131.

13105332305433 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 53 + 32 + 30 + 543 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5987946032784 + 7117386272649 = 2447028^2 + 2667843^2 .

It is not a de Polignac number, because 13105332305433 - 212 = 13105332301337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13105332305333) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42947118 + ... + 43251191.

It is an arithmetic number, because the mean of its divisors is an integer number (979376578389).

Almost surely, 213105332305433 is an apocalyptic number.

It is an amenable number.

13105332305433 is a deficient number, since it is larger than the sum of its proper divisors (6482199262347).

13105332305433 is an equidigital number, since it uses as much as digits as its factorization.

13105332305433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86200198 (or 86200189 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

Adding to 13105332305433 its reverse (33450323350131), we get a palindrome (46555655655564).

The spelling of 13105332305433 in words is "thirteen trillion, one hundred five billion, three hundred thirty-two million, three hundred five thousand, four hundred thirty-three".

Divisors: 1 3 9 27 81 1877 5631 16893 50679 152037 86198309 258594927 775784781 2327354343 6982063029 161794225993 485382677979 1456148033937 4368444101811 13105332305433