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13220130 = 2357115997
BaseRepresentation
bin110010011011…
…100100100010
3220212122121110
4302123210202
511341021010
61151204150
7220240440
oct62334442
926778543
1013220130
11750a530
124516656
13297b481
141a81b90
151262120
hexc9b922

13220130 has 128 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 2672640.

The previous prime is 13220117. The next prime is 13220131. The reversal of 13220130 is 3102231.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13220131) 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 63 ways as a sum of consecutive naturals, for example, 136242 + ... + 136338.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 213220130 is an apocalyptic number.

13220130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

13220130 is an abundant number, since it is smaller than the sum of its proper divisors (27422430).

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

13220130 is a wasteful number, since it uses less digits than its factorization.

13220130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13220130 is about 3635.9496696187. The cubic root of 13220130 is about 236.4532250940.

Adding to 13220130 its reverse (3102231), we get a palindrome (16322361).

It can be divided in two parts, 132201 and 30, that added together give a palindrome (132231).

The spelling of 13220130 in words is "thirteen million, two hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 59 66 70 77 97 105 110 118 154 165 177 194 210 231 291 295 330 354 385 413 462 485 582 590 649 679 770 826 885 970 1067 1155 1239 1298 1358 1455 1770 1947 2037 2065 2134 2310 2478 2910 3201 3245 3395 3894 4074 4130 4543 5335 5723 6195 6402 6490 6790 7469 9086 9735 10185 10670 11446 12390 13629 14938 16005 17169 19470 20370 22407 22715 27258 28615 32010 34338 37345 40061 44814 45430 57230 62953 68145 74690 80122 85845 112035 120183 125906 136290 171690 188859 200305 224070 240366 314765 377718 400610 440671 600915 629530 881342 944295 1201830 1322013 1888590 2203355 2644026 4406710 6610065 13220130