Search a number
-
+
11817117 = 3313131257
BaseRepresentation
bin101101000101…
…000010011101
3211020101001000
4231011002131
511011121432
61101140513
7202305144
oct55050235
924211030
1011817117
116741414
123b5a739
1325a99a0
1417d875b
15108657c
hexb4509d

11817117 has 32 divisors (see below), whose sum is σ = 19071360. Its totient is φ = 7188480.

The previous prime is 11817089. The next prime is 11817121. The reversal of 11817117 is 71171811.

It is a happy number.

It is not a de Polignac number, because 11817117 - 26 = 11817053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11817137) 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 31 ways as a sum of consecutive naturals, for example, 45853 + ... + 46109.

It is an arithmetic number, because the mean of its divisors is an integer number (595980).

Almost surely, 211817117 is an apocalyptic number.

It is an amenable number.

11817117 is a deficient number, since it is larger than the sum of its proper divisors (7254243).

11817117 is a wasteful number, since it uses less digits than its factorization.

11817117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its digits is 392, while the sum is 27.

The square root of 11817117 is about 3437.6033802636. The cubic root of 11817117 is about 227.7738408379.

Adding to 11817117 its reverse (71171811), we get a palindrome (82988928).

The spelling of 11817117 in words is "eleven million, eight hundred seventeen thousand, one hundred seventeen".

Divisors: 1 3 9 13 27 39 117 131 257 351 393 771 1179 1703 2313 3341 3537 5109 6939 10023 15327 30069 33667 45981 90207 101001 303003 437671 909009 1313013 3939039 11817117