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121580017 = 13109239359
BaseRepresentation
bin1110011111100…
…10100111110001
322110202220102121
413033302213301
5222111030032
620021514241
73004261456
oct717624761
9273686377
10121580017
11626a0959
1234872981
131c25b150
141220b82d
15aa18a97
hex73f29f1

121580017 has 16 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 110424384.

The previous prime is 121580003. The next prime is 121580033. The reversal of 121580017 is 710085121.

It is a cyclic number.

It is not a de Polignac number, because 121580017 - 27 = 121579889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121579973 and 121580000.

It is not an unprimeable number, because it can be changed into a prime (121580317) 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 15 ways as a sum of consecutive naturals, for example, 338484 + ... + 338842.

It is an arithmetic number, because the mean of its divisors is an integer number (8316000).

Almost surely, 2121580017 is an apocalyptic number.

It is an amenable number.

121580017 is a deficient number, since it is larger than the sum of its proper divisors (11475983).

121580017 is a wasteful number, since it uses less digits than its factorization.

121580017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720.

The product of its (nonzero) digits is 560, while the sum is 25.

The square root of 121580017 is about 11026.3328899503. The cubic root of 121580017 is about 495.3977919980.

The spelling of 121580017 in words is "one hundred twenty-one million, five hundred eighty thousand, seventeen".

Divisors: 1 13 109 239 359 1417 3107 4667 26051 39131 85801 338663 508703 1115413 9352309 121580017