Search a number
-
+
13211220 = 22351137541
BaseRepresentation
bin110010011001…
…011001010100
3220212012101110
4302121121110
511340224340
61151055020
7220202451
oct62313124
926765343
1013211220
117503870
124511470
1329773b9
141a7c828
15125e680
hexc99654

13211220 has 96 divisors (see below), whose sum is σ = 41521536. Its totient is φ = 3110400.

The previous prime is 13211207. The next prime is 13211243. The reversal of 13211220 is 2211231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13211196 and 13211205.

It is a congruent number.

It is an unprimeable number.

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, 24150 + ... + 24690.

It is an arithmetic number, because the mean of its divisors is an integer number (432516).

Almost surely, 213211220 is an apocalyptic number.

13211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20760768).

13211220 is an abundant number, since it is smaller than the sum of its proper divisors (28310316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13211220 is a wasteful number, since it uses less digits than its factorization.

13211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13211220 is about 3634.7241986154. The cubic root of 13211220 is about 236.4000921893.

Adding to 13211220 its reverse (2211231), we get a palindrome (15422451).

It can be divided in two parts, 13211 and 220, that added together give a palindrome (13431).

The spelling of 13211220 in words is "thirteen million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 541 555 660 740 814 1082 1110 1221 1623 1628 2035 2164 2220 2442 2705 3246 4070 4884 5410 5951 6105 6492 8115 8140 10820 11902 12210 16230 17853 20017 23804 24420 29755 32460 35706 40034 59510 60051 71412 80068 89265 100085 119020 120102 178530 200170 220187 240204 300255 357060 400340 440374 600510 660561 880748 1100935 1201020 1321122 2201870 2642244 3302805 4403740 6605610 13211220