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12101193 = 3213293353
BaseRepresentation
bin101110001010…
…011001001001
3211202210201100
4232022121021
511044214233
61111212013
7204600306
oct56123111
924683640
1012101193
116915895
124077009
132679090
1418700ad
1510e0813
hexb8a649

12101193 has 24 divisors (see below), whose sum is σ = 18941832. Its totient is φ = 7400448.

The previous prime is 12101179. The next prime is 12101227. The reversal of 12101193 is 39110121.

It can be divided in two parts, 121011 and 93, that added together give a square (121104 = 3482).

12101193 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2064969 + 10036224 = 1437^2 + 3168^2 .

It is not a de Polignac number, because 12101193 - 29 = 12100681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34105 + ... + 34457.

It is an arithmetic number, because the mean of its divisors is an integer number (789243).

Almost surely, 212101193 is an apocalyptic number.

12101193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12101193 is a deficient number, since it is larger than the sum of its proper divisors (6840639).

12101193 is a wasteful number, since it uses less digits than its factorization.

12101193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 662 counting only the distinct ones).

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

The square root of 12101193 is about 3478.6769036517. The cubic root of 12101193 is about 229.5845872713.

The spelling of 12101193 in words is "twelve million, one hundred one thousand, one hundred ninety-three".

Divisors: 1 3 9 13 39 117 293 353 879 1059 2637 3177 3809 4589 11427 13767 34281 41301 103429 310287 930861 1344577 4033731 12101193