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121110093 = 3313389887
BaseRepresentation
bin1110011011111…
…11111001001101
322102220000211000
413031333321031
5222001010333
620003450513
73000263436
oct715777115
9272800730
10121110093
11623aa895
1234686a39
131c1252a0
141212848d
15a974713
hex737fe4d

121110093 has 32 divisors (see below), whose sum is σ = 193939200. Its totient is φ = 74253888.

The previous prime is 121110089. The next prime is 121110109. The reversal of 121110093 is 390011121.

It is not a de Polignac number, because 121110093 - 22 = 121110089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136096 + ... + 136982.

It is an arithmetic number, because the mean of its divisors is an integer number (6060600).

Almost surely, 2121110093 is an apocalyptic number.

121110093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121110093 is a deficient number, since it is larger than the sum of its proper divisors (72829107).

121110093 is a wasteful number, since it uses less digits than its factorization.

121110093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 121110093 is about 11005.0030895043. The cubic root of 121110093 is about 494.7587070080.

The spelling of 121110093 in words is "one hundred twenty-one million, one hundred ten thousand, ninety-three".

Divisors: 1 3 9 13 27 39 117 351 389 887 1167 2661 3501 5057 7983 10503 11531 15171 23949 34593 45513 103779 136539 311337 345043 1035129 3105387 4485559 9316161 13456677 40370031 121110093