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13313322 = 2341131241
BaseRepresentation
bin110010110010…
…010100101010
3221001101110000
4302302110222
511402011242
61153203430
7221106231
oct62622452
927041400
1013313322
117573550
124560576
1329b1a09
141aa7b18
15127ea4c
hexcb252a

13313322 has 80 divisors (see below), whose sum is σ = 33732864. Its totient is φ = 3888000.

The previous prime is 13313309. The next prime is 13313327. The reversal of 13313322 is 22331331.

13313322 is a `hidden beast` number, since 1 + 331 + 332 + 2 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13313295 and 13313304.

It is not an unprimeable number, because it can be changed into a prime (13313327) 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 39 ways as a sum of consecutive naturals, for example, 55122 + ... + 55362.

Almost surely, 213313322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866432).

13313322 is an abundant number, since it is smaller than the sum of its proper divisors (20419542).

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

13313322 is a wasteful number, since it uses less digits than its factorization.

13313322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 13313322 is about 3648.7425231167. The cubic root of 13313322 is about 237.0075306051.

Adding to 13313322 its reverse (22331331), we get a palindrome (35644653).

Subtracting 13313322 from its reverse (22331331), we obtain a square (9018009 = 30032).

The spelling of 13313322 in words is "thirteen million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 241 279 297 341 482 558 594 682 723 837 891 1023 1446 1674 1782 2046 2169 2511 2651 3069 4338 5022 5302 6138 6507 7471 7953 9207 13014 14942 15906 18414 19521 22413 23859 27621 39042 44826 47718 55242 67239 71577 82181 134478 143154 164362 201717 214731 246543 403434 429462 493086 605151 739629 1210302 1479258 2218887 4437774 6656661 13313322