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121520833 = 7210932269
BaseRepresentation
bin1110011111001…
…00001011000001
322110122220020121
413033210023001
5222102131313
620020340241
73003624100
oct717441301
9273586217
10121520833
1162660445
1234844681
131c23a225
14121d4037
15aa0628d
hex73e42c1

121520833 has 12 divisors (see below), whose sum is σ = 141552660. Its totient is φ = 104019552.

The previous prime is 121520821. The next prime is 121520857. The reversal of 121520833 is 338025121.

It can be written as a sum of positive squares in 2 ways, for example, as 66048129 + 55472704 = 8127^2 + 7448^2 .

It is not a de Polignac number, because 121520833 - 213 = 121512641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121520798 and 121520807.

It is not an unprimeable number, because it can be changed into a prime (121520813) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 52423 + ... + 54691.

It is an arithmetic number, because the mean of its divisors is an integer number (11796055).

Almost surely, 2121520833 is an apocalyptic number.

It is an amenable number.

121520833 is a deficient number, since it is larger than the sum of its proper divisors (20031827).

121520833 is a wasteful number, since it uses less digits than its factorization.

121520833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 121520833 is about 11023.6488060896. The cubic root of 121520833 is about 495.3173939676.

Adding to 121520833 its reverse (338025121), we get a palindrome (459545954).

The spelling of 121520833 in words is "one hundred twenty-one million, five hundred twenty thousand, eight hundred thirty-three".

Divisors: 1 7 49 1093 2269 7651 15883 53557 111181 2480017 17360119 121520833