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13324122 = 2337101349
BaseRepresentation
bin110010110100…
…111101011010
3221001221021000
4302310331122
511402332442
61153325430
7221152560
oct62647532
927057230
1013324122
117580679
124566876
1329b68c6
141aaba30
151282d4c
hexcb4f5a

13324122 has 64 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 3758400.

The previous prime is 13324099. The next prime is 13324127. The reversal of 13324122 is 22142331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13324095 and 13324104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13324127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38004 + ... + 38352.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 213324122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13324122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136000).

13324122 is an abundant number, since it is smaller than the sum of its proper divisors (20947878).

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

13324122 is a wasteful number, since it uses less digits than its factorization.

13324122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 13324122 is about 3650.2221850183. Note that the first 3 decimals coincide. The cubic root of 13324122 is about 237.0716015032.

Adding to 13324122 its reverse (22142331), we get a palindrome (35466453).

The spelling of 13324122 in words is "thirteen million, three hundred twenty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 349 378 606 698 707 909 1047 1414 1818 2094 2121 2443 2727 3141 4242 4886 5454 6282 6363 7329 9423 12726 14658 18846 19089 21987 35249 38178 43974 65961 70498 105747 131922 211494 246743 317241 493486 634482 740229 951723 1480458 1903446 2220687 4441374 6662061 13324122