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13451041305 = 3351314951439
BaseRepresentation
bin11001000011011111…
…01001101000011001
31021201102111200211000
430201233221220121
5210021431310210
610102422255213
7654220651602
oct144157515031
937642450730
1013451041305
115782842469
122734887509
131364974650
14918618da9
1553ad48ac0
hex321be9a19

13451041305 has 64 divisors (see below), whose sum is σ = 25925760000. Its totient is φ = 6577479936.

The previous prime is 13451041301. The next prime is 13451041379. The reversal of 13451041305 is 50314015431.

It is a happy number.

13451041305 is a `hidden beast` number, since 1 + 345 + 10 + 4 + 1 + 305 = 666.

13451041305 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 13451041305 - 22 = 13451041301 is a prime.

It is a super-2 number, since 2×134510413052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13451041301) 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 63 ways as a sum of consecutive naturals, for example, 235776 + ... + 287214.

It is an arithmetic number, because the mean of its divisors is an integer number (405090000).

Almost surely, 213451041305 is an apocalyptic number.

13451041305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13451041305 is a deficient number, since it is larger than the sum of its proper divisors (12474718695).

13451041305 is a wasteful number, since it uses less digits than its factorization.

13451041305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51615 (or 51609 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13451041305 its reverse (50314015431), we get a palindrome (63765056736).

The spelling of 13451041305 in words is "thirteen billion, four hundred fifty-one million, forty-one thousand, three hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 149 195 351 447 585 745 1341 1755 1937 2235 4023 5811 6705 9685 17433 20115 29055 51439 52299 87165 154317 257195 261495 462951 668707 771585 1388853 2006121 2314755 3343535 6018363 6944265 7664411 10030605 18055089 22993233 30091815 38322055 68979699 90275445 99637343 114966165 206939097 298912029 344898495 498186715 896736087 1034695485 1494560145 2690208261 4483680435 13451041305