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13200012 = 2232731069
BaseRepresentation
bin110010010110…
…101010001100
3220211122000100
4302112222030
511334400022
61150531100
7220125000
oct62265214
926748010
1013200012
1174a6401
124506a90
132972277
141a78700
15125b1ac
hexc96a8c

13200012 has 72 divisors (see below), whose sum is σ = 38948000. Its totient is φ = 3767904.

The previous prime is 13200001. The next prime is 13200101. The reversal of 13200012 is 21000231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 13199967 and 13200003.

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 23 ways as a sum of consecutive naturals, for example, 11814 + ... + 12882.

Almost surely, 213200012 is an apocalyptic number.

13200012 is a gapful number since it is divisible by the number (12) 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 13200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474000).

13200012 is an abundant number, since it is smaller than the sum of its proper divisors (25747988).

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

13200012 is a wasteful number, since it uses less digits than its factorization.

13200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13200012 is about 3633.1820763623. The cubic root of 13200012 is about 236.3332217096. Note that the first 3 decimals are identical.

Adding to 13200012 its reverse (21000231), we get a palindrome (34200243).

The spelling of 13200012 in words is "thirteen million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1069 1372 1764 2058 2138 3087 3207 4116 4276 6174 6414 7483 9621 12348 12828 14966 19242 22449 29932 38484 44898 52381 67347 89796 104762 134694 157143 209524 269388 314286 366667 471429 628572 733334 942858 1100001 1466668 1885716 2200002 3300003 4400004 6600006 13200012