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21210700 = 22527157193
BaseRepresentation
bin101000011101…
…0011001001100
31110220121121111
41100322121030
520412220300
62034341404
7345200530
oct120723114
943817544
1021210700
1110a77a05
12712a864
134518514
142b61bc0
151cde9ba
hex143a64c

21210700 has 72 divisors (see below), whose sum is σ = 53211872. Its totient is φ = 7188480.

The previous prime is 21210697. The next prime is 21210703. The reversal of 21210700 is 701212.

21210700 = 2212 + 2222 + ... + 4202.

It is an interprime number because it is at equal distance from previous prime (21210697) and next prime (21210703).

It is not an unprimeable number, because it can be changed into a prime (21210703) by changing a digit.

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, 109804 + ... + 109996.

Almost surely, 221210700 is an apocalyptic number.

21210700 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 21210700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26605936).

21210700 is an abundant number, since it is smaller than the sum of its proper divisors (32001172).

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

21210700 is a wasteful number, since it uses less digits than its factorization.

21210700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 21210700 is about 4605.5075724615. The cubic root of 21210700 is about 276.8120556468.

Adding to 21210700 its reverse (701212), we get a palindrome (21911912).

The spelling of 21210700 in words is "twenty-one million, two hundred ten thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 157 175 193 314 350 386 628 700 772 785 965 1099 1351 1570 1930 2198 2702 3140 3860 3925 4396 4825 5404 5495 6755 7850 9650 10990 13510 15700 19300 21980 27020 27475 30301 33775 54950 60602 67550 109900 121204 135100 151505 212107 303010 424214 606020 757525 848428 1060535 1515050 2121070 3030100 4242140 5302675 10605350 21210700