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21000213 = 3213239751
BaseRepresentation
bin101000000011…
…1000000010101
31110111220212200
41100013000111
520334001323
62030035113
7343333053
oct120070025
943456780
1021000213
1110943853
127048a99
134473780
142b091d3
151c9c443
hex1407015

21000213 has 24 divisors (see below), whose sum is σ = 32847360. Its totient is φ = 12852000.

The previous prime is 21000193. The next prime is 21000229. The reversal of 21000213 is 31200012.

It is a happy number.

It is not a de Polignac number, because 21000213 - 212 = 20996117 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 = 21000195 and 21000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27588 + ... + 28338.

It is an arithmetic number, because the mean of its divisors is an integer number (1368640).

Almost surely, 221000213 is an apocalyptic number.

It is an amenable number.

21000213 is a deficient number, since it is larger than the sum of its proper divisors (11847147).

21000213 is a wasteful number, since it uses less digits than its factorization.

21000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1006 counting only the distinct ones).

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

The square root of 21000213 is about 4582.5989351022. The cubic root of 21000213 is about 275.8933504141.

Adding to 21000213 its reverse (31200012), we get a palindrome (52200225).

The spelling of 21000213 in words is "twenty-one million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 239 717 751 2151 2253 3107 6759 9321 9763 27963 29289 87867 179489 538467 1615401 2333357 7000071 21000213