Search a number
-
+
12381193 = 117183191
BaseRepresentation
bin101111001110…
…110000001001
3212022000210201
4233032300021
511132144233
61121212201
7210144526
oct57166011
925260721
1012381193
116a971a0
124191061
132746666
14190414d
15114877d
hexbcec09

12381193 has 16 divisors (see below), whose sum is σ = 13934592. Its totient is φ = 10906000.

The previous prime is 12381169. The next prime is 12381223. The reversal of 12381193 is 39118321.

12381193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 1437-th star number.

It is a cyclic number.

It is not a de Polignac number, because 12381193 - 213 = 12373001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12381113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64728 + ... + 64918.

It is an arithmetic number, because the mean of its divisors is an integer number (870912).

Almost surely, 212381193 is an apocalyptic number.

It is an amenable number.

12381193 is a deficient number, since it is larger than the sum of its proper divisors (1553399).

12381193 is a wasteful number, since it uses less digits than its factorization.

12381193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356.

The product of its digits is 1296, while the sum is 28.

The square root of 12381193 is about 3518.6919444589. The cubic root of 12381193 is about 231.3418288333.

It can be divided in two parts, 123811 and 93, that added together give a square (123904 = 3522).

The spelling of 12381193 in words is "twelve million, three hundred eighty-one thousand, one hundred ninety-three".

Divisors: 1 11 71 83 191 781 913 2101 5893 13561 15853 64823 149171 174383 1125563 12381193