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103134305205 = 32514922967169
BaseRepresentation
bin110000000001101001…
…0001001101110110101
3100212012121101112200200
41200003102021232311
53142204340231310
6115213530031113
710310523062361
oct1400322115665
9325177345620
10103134305205
113a814698a88
1217ba3578499
139957c891c9
144dc54282a1
152a394ac9c0
hex1803489bb5

103134305205 has 48 divisors (see below), whose sum is σ = 180754470000. Its totient is φ = 54396407808.

The previous prime is 103134305191. The next prime is 103134305207. The reversal of 103134305205 is 502503431301.

103134305205 is a `hidden beast` number, since 1 + 0 + 3 + 134 + 3 + 0 + 520 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3797763876 + 99336541329 = 61626^2 + 315177^2 .

It is not a de Polignac number, because 103134305205 - 225 = 103100750773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103134305207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1501861 + ... + 1569029.

It is an arithmetic number, because the mean of its divisors is an integer number (3765718125).

Almost surely, 2103134305205 is an apocalyptic number.

103134305205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103134305205 is a deficient number, since it is larger than the sum of its proper divisors (77620164795).

103134305205 is a wasteful number, since it uses less digits than its factorization.

103134305205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67558 (or 67555 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 103134305205 its reverse (502503431301), we get a palindrome (605637736506).

The spelling of 103134305205 in words is "one hundred three billion, one hundred thirty-four million, three hundred five thousand, two hundred five".

Divisors: 1 3 5 9 15 45 149 229 447 687 745 1145 1341 2061 2235 3435 6705 10305 34121 67169 102363 170605 201507 307089 335845 511815 604521 1007535 1535445 3022605 10008181 15381701 30024543 46145103 50040905 76908505 90073629 138435309 150122715 230725515 450368145 692176545 2291873449 6875620347 11459367245 20626861041 34378101735 103134305205