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21245100 = 22352233079
BaseRepresentation
bin101000100001…
…0110010101100
31110222100210120
41101002302230
520414320400
62035204540
7345403032
oct121026254
943870716
1021245100
1110aa0838
127146750
13452b086
142b70552
151ce9ca0
hex1442cac

21245100 has 72 divisors (see below), whose sum is σ = 64162560. Its totient is φ = 5417280.

The previous prime is 21245099. The next prime is 21245111. The reversal of 21245100 is 154212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21245100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5361 + ... + 8439.

Almost surely, 221245100 is an apocalyptic number.

21245100 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 21245100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32081280).

21245100 is an abundant number, since it is smaller than the sum of its proper divisors (42917460).

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

21245100 is a wasteful number, since it uses less digits than its factorization.

21245100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 21245100 is about 4609.2407183830. The cubic root of 21245100 is about 276.9616215341.

Adding to 21245100 its reverse (154212), we get a palindrome (21399312).

The spelling of 21245100 in words is "twenty-one million, two hundred forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3079 3450 6158 6900 9237 12316 15395 18474 30790 36948 46185 61580 70817 76975 92370 141634 153950 184740 212451 230925 283268 307900 354085 424902 461850 708170 849804 923700 1062255 1416340 1770425 2124510 3540850 4249020 5311275 7081700 10622550 21245100