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1304241123105 = 325171704890357
BaseRepresentation
bin10010111110101010110…
…101000010111100100001
311121200110210202211101200
4102332222311002330201
5132332041211414410
62435054325351413
7163141211425644
oct22765265027441
94550423684350
101304241123105
11463142126808
1219092b868569
1395cb2970c3b
14471a8947a5b
1523dd64293c0
hex12faad42f21

1304241123105 has 24 divisors (see below), whose sum is σ = 2393666062632. Its totient is φ = 654677896704.

The previous prime is 1304241123091. The next prime is 1304241123113. The reversal of 1304241123105 is 5013211424031.

1304241123105 is a `hidden beast` number, since 1 + 3 + 0 + 424 + 1 + 1 + 231 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91088672481 + 1213152450624 = 301809^2 + 1101432^2 .

It is not a de Polignac number, because 1304241123105 - 215 = 1304241090337 is a prime.

It is a super-3 number, since 3×13042411231053 (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852444414 + ... + 852445943.

It is an arithmetic number, because the mean of its divisors is an integer number (99736085943).

Almost surely, 21304241123105 is an apocalyptic number.

1304241123105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1304241123105 is a deficient number, since it is larger than the sum of its proper divisors (1089424939527).

1304241123105 is a wasteful number, since it uses less digits than its factorization.

1304241123105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704890385 (or 1704890382 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1304241123105 its reverse (5013211424031), we get a palindrome (6317452547136).

The spelling of 1304241123105 in words is "one trillion, three hundred four billion, two hundred forty-one million, one hundred twenty-three thousand, one hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1704890357 5114671071 8524451785 15344013213 25573355355 28983136069 76720066065 86949408207 144915680345 260848224621 434747041035 1304241123105