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21003213 = 3721131419
BaseRepresentation
bin101000000011…
…1101111001101
31110112001222210
41100013233031
520334100323
62030101033
7343344600
oct120075715
943461883
1021003213
1110946030
12704a779
134474c4a
142b0a337
151c9d293
hex1407bcd

21003213 has 48 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 10533600.

The previous prime is 21003179. The next prime is 21003223. The reversal of 21003213 is 31230012.

It is a happy number.

It is not a de Polignac number, because 21003213 - 28 = 21002957 is a prime.

It is a super-2 number, since 2×210032132 = 882269912646738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21003223) 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 47 ways as a sum of consecutive naturals, for example, 49918 + ... + 50336.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 221003213 is an apocalyptic number.

It is an amenable number.

21003213 is a deficient number, since it is larger than the sum of its proper divisors (15768627).

21003213 is a wasteful number, since it uses less digits than its factorization.

21003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 21003213 is about 4582.9262485883. The cubic root of 21003213 is about 275.9064874339.

Adding to 21003213 its reverse (31230012), we get a palindrome (52233225).

The spelling of 21003213 in words is "twenty-one million, three thousand, two hundred thirteen".

Divisors: 1 3 7 11 21 31 33 49 77 93 147 217 231 341 419 539 651 1023 1257 1519 1617 2387 2933 4557 4609 7161 8799 12989 13827 16709 20531 32263 38967 50127 61593 90923 96789 142879 225841 272769 428637 636461 677523 1000153 1909383 3000459 7001071 21003213