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13213212 = 2232943883
BaseRepresentation
bin110010011001…
…111000011100
3220212022010020
4302121320130
511340310322
61151112140
7220211325
oct62317034
926768106
1013213212
117505311
124512650
13297828c
141a7d44c
15126005c
hexc99e1c

13213212 has 48 divisors (see below), whose sum is σ = 32672640. Its totient is φ = 4148928.

The previous prime is 13213159. The next prime is 13213229. The reversal of 13213212 is 21231231.

13213212 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 13213191 and 13213200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14523 + ... + 15405.

It is an arithmetic number, because the mean of its divisors is an integer number (680680).

Almost surely, 213213212 is an apocalyptic number.

13213212 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 13213212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16336320).

13213212 is an abundant number, since it is smaller than the sum of its proper divisors (19459428).

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

13213212 is a wasteful number, since it uses less digits than its factorization.

13213212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 960 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 13213212 is about 3634.9982118290. The cubic root of 13213212 is about 236.4119731339.

Adding to 13213212 its reverse (21231231), we get a palindrome (34444443).

The spelling of 13213212 in words is "thirteen million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 883 1247 1766 2494 2649 3532 3741 4988 5298 7482 10596 14964 25607 37969 51214 75938 76821 102428 113907 151876 153642 227814 307284 455628 1101101 2202202 3303303 4404404 6606606 13213212