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21213300 = 22352312281
BaseRepresentation
bin101000011101…
…1000001110100
31110220202011210
41100323001310
520412311200
62034401420
7345211233
oct120730164
943822153
1021213300
1110a79959
127130270
134519764
142b62b1a
151ce0650
hex143b074

21213300 has 72 divisors (see below), whose sum is σ = 63384832. Its totient is φ = 5472000.

The previous prime is 21213293. The next prime is 21213341. The reversal of 21213300 is 331212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8160 + ... + 10440.

Almost surely, 221213300 is an apocalyptic number.

21213300 is a gapful number since it is divisible by the number (20) 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 21213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31692416).

21213300 is an abundant number, since it is smaller than the sum of its proper divisors (42171532).

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

21213300 is a wasteful number, since it uses less digits than its factorization.

21213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2322 counting only the distinct ones).

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

The square root of 21213300 is about 4605.7898345452. The cubic root of 21213300 is about 276.8233656921.

Adding to 21213300 its reverse (331212), we get a palindrome (21544512).

The spelling of 21213300 in words is "twenty-one million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2281 2325 3100 4562 4650 6843 9124 9300 11405 13686 22810 27372 34215 45620 57025 68430 70711 114050 136860 141422 171075 212133 228100 282844 342150 353555 424266 684300 707110 848532 1060665 1414220 1767775 2121330 3535550 4242660 5303325 7071100 10606650 21213300