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121193113217 = 1125944338321
BaseRepresentation
bin111000011011110101…
…1000010011010000001
3102120211011020001010212
41300313223002122001
53441200414110332
6131401513003505
711520164315411
oct1606753023201
9376734201125
10121193113217
1147441397800
121b5a33b3595
13b57543a017
145c199a2641
153244ad08b2
hex1c37ac2681

121193113217 has 24 divisors (see below), whose sum is σ = 135779444640. Its totient is φ = 108060867200.

The previous prime is 121193113213. The next prime is 121193113229. The reversal of 121193113217 is 712311391121.

It is not a de Polignac number, because 121193113217 - 22 = 121193113213 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121193113213) 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 23 ways as a sum of consecutive naturals, for example, 3143417 + ... + 3181737.

It is an arithmetic number, because the mean of its divisors is an integer number (5657476860).

Almost surely, 2121193113217 is an apocalyptic number.

It is an amenable number.

121193113217 is a deficient number, since it is larger than the sum of its proper divisors (14586331423).

121193113217 is a wasteful number, since it uses less digits than its factorization.

121193113217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38845 (or 38834 counting only the distinct ones).

The product of its digits is 2268, while the sum is 32.

The spelling of 121193113217 in words is "one hundred twenty-one billion, one hundred ninety-three million, one hundred thirteen thousand, two hundred seventeen".

Divisors: 1 11 59 121 443 649 4873 7139 26137 38321 53603 287507 421531 2260939 3162577 4636841 16976203 24870329 186738233 273573619 1001595977 2054120563 11017555747 121193113217