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13105441104405 = 3513498713476517
BaseRepresentation
bin1011111010110101100100…
…1010010110001000010101
31201101212102201112121120120
42332231121022112020111
53204204420410320110
643512320113222153
72521560022244136
oct276553112261025
951355381477516
1013105441104405
1141a2a939330a1
121577b09861959
13740ab782a460
1433444196bc8d
1517ad8140a870
hexbeb59296215

13105441104405 has 32 divisors (see below), whose sum is σ = 22586212919424. Its totient is φ = 6450615242496.

The previous prime is 13105441104359. The next prime is 13105441104461. The reversal of 13105441104405 is 50440114450131.

13105441104405 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 13105441104405 - 219 = 13105440580117 is a prime.

It is a super-2 number, since 2×131054411044052 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5765794 + ... + 7710723.

It is an arithmetic number, because the mean of its divisors is an integer number (705819153732).

Almost surely, 213105441104405 is an apocalyptic number.

13105441104405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13105441104405 is a deficient number, since it is larger than the sum of its proper divisors (9480771815019).

13105441104405 is a wasteful number, since it uses less digits than its factorization.

13105441104405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13481525.

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 13105441104405 its reverse (50440114450131), we get a palindrome (63545555554536).

The spelling of 13105441104405 in words is "thirteen trillion, one hundred five billion, four hundred forty-one million, one hundred four thousand, four hundred five".

Divisors: 1 3 5 13 15 39 65 195 4987 14961 24935 64831 74805 194493 324155 972465 13476517 40429551 67382585 175194721 202147755 525584163 875973605 2627920815 67207390279 201622170837 336036951395 873696073627 1008110854185 2621088220881 4368480368135 13105441104405