Search a number
-
+
13031109 = 3272132273
BaseRepresentation
bin110001101101…
…011011000101
3220112001022200
4301231123011
511313443414
61143145113
7215522400
oct61553305
926461280
1013031109
1173a0513
124445199
132913420
141a32d37
151226109
hexc6d6c5

13031109 has 36 divisors (see below), whose sum is σ = 23590476. Its totient is φ = 6870528.

The previous prime is 13031101. The next prime is 13031159. The reversal of 13031109 is 90113031.

It can be written as a sum of positive squares in 2 ways, for example, as 6890625 + 6140484 = 2625^2 + 2478^2 .

It is not a de Polignac number, because 13031109 - 23 = 13031101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13031091 and 13031100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4597 + ... + 6869.

It is an arithmetic number, because the mean of its divisors is an integer number (655291).

Almost surely, 213031109 is an apocalyptic number.

It is an amenable number.

13031109 is a deficient number, since it is larger than the sum of its proper divisors (10559367).

13031109 is a wasteful number, since it uses less digits than its factorization.

13031109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 13031109 is about 3609.8627397728. The cubic root of 13031109 is about 235.3208774920.

The spelling of 13031109 in words is "thirteen million, thirty-one thousand, one hundred nine".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 2273 5733 6819 15911 20457 29549 47733 88647 111377 143199 206843 265941 334131 620529 1002393 1447901 1861587 4343703 13031109