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20001213 = 3229197389
BaseRepresentation
bin100110001001…
…1000110111101
31101122011111200
41030103012331
520110014323
61552410113
7332002401
oct114230675
941564450
1020001213
1110321231
126846939
1341b3b4b
142929101
151b51443
hex13131bd

20001213 has 24 divisors (see below), whose sum is σ = 30115800. Its totient is φ = 12776064.

The previous prime is 20001203. The next prime is 20001217. The reversal of 20001213 is 31210002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6140484 + 13860729 = 2478^2 + 3723^2 .

It is not a de Polignac number, because 20001213 - 25 = 20001181 is a prime.

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 = 20001195 and 20001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51223 + ... + 51611.

It is an arithmetic number, because the mean of its divisors is an integer number (1254825).

Almost surely, 220001213 is an apocalyptic number.

It is an amenable number.

20001213 is a deficient number, since it is larger than the sum of its proper divisors (10114587).

20001213 is a wasteful number, since it uses less digits than its factorization.

20001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 618 counting only the distinct ones).

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

The square root of 20001213 is about 4472.2715704662. The cubic root of 20001213 is about 271.4472491962.

Adding to 20001213 its reverse (31210002), we get a palindrome (51211215).

The spelling of 20001213 in words is "twenty million, one thousand, two hundred thirteen".

Divisors: 1 3 9 29 87 197 261 389 591 1167 1773 3501 5713 11281 17139 33843 51417 76633 101529 229899 689697 2222357 6667071 20001213