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121301505 = 325131012053
BaseRepresentation
bin1110011101011…
…10101000000001
322110020202101100
413032232220001
5222023122010
620011525013
73002021463
oct716565001
9273222340
10121301505
1162520686
1234759769
131c191450
1412178133
15a9b12c0
hex73aea01

121301505 has 48 divisors (see below), whose sum is σ = 228782736. Its totient is φ = 59097600.

The previous prime is 121301459. The next prime is 121301561. The reversal of 121301505 is 505103121.

It can be written as a sum of positive squares in 8 ways, for example, as 147456 + 121154049 = 384^2 + 11007^2 .

It is not a de Polignac number, because 121301505 - 28 = 121301249 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58059 + ... + 60111.

It is an arithmetic number, because the mean of its divisors is an integer number (4766307).

Almost surely, 2121301505 is an apocalyptic number.

121301505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121301505 is a deficient number, since it is larger than the sum of its proper divisors (107481231).

121301505 is a wasteful number, since it uses less digits than its factorization.

121301505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 121301505 is about 11013.6962460384. The cubic root of 121301505 is about 495.0192217819.

Adding to 121301505 its reverse (505103121), we get a palindrome (626404626).

The spelling of 121301505 in words is "one hundred twenty-one million, three hundred one thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 101 117 195 303 505 585 909 1313 1515 2053 3939 4545 6159 6565 10265 11817 18477 19695 26689 30795 59085 80067 92385 133445 207353 240201 400335 622059 1036765 1201005 1866177 2695589 3110295 8086767 9330885 13477945 24260301 40433835 121301505