Base | Representation |
---|---|
bin | 110001100101… |
… | …111000010100 |
3 | 220110110221100 |
4 | 301211320110 |
5 | 11312001322 |
6 | 1142350100 |
7 | 215333331 |
oct | 61457024 |
9 | 26413840 |
10 | 13000212 |
11 | 737a285 |
12 | 442b330 |
13 | 2902344 |
14 | 1a25988 |
15 | 121bdac |
hex | c65e14 |
13000212 has 36 divisors (see below), whose sum is σ = 33173140. Its totient is φ = 4292352.
The previous prime is 13000201. The next prime is 13000213. The reversal of 13000212 is 21200031.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 2268036 = 3276^2 + 1506^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 13000194 and 13000203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13000213) 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 11 ways as a sum of consecutive naturals, for example, 2268 + ... + 5580.
Almost surely, 213000212 is an apocalyptic number.
13000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
13000212 is an abundant number, since it is smaller than the sum of its proper divisors (20172928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13000212 is a wasteful number, since it uses less digits than its factorization.
13000212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3432 (or 3427 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 13000212 is about 3605.5806744545. The cubic root of 13000212 is about 235.1347469265.
Adding to 13000212 its reverse (21200031), we get a palindrome (34200243).
The spelling of 13000212 in words is "thirteen million, two hundred twelve", and thus it is an aban number.
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