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21101200 = 245271743
BaseRepresentation
bin101000001111…
…1101010010000
31110201001101221
41100133222100
520400214300
62032134424
7344233351
oct120375220
943631357
1021101200
1110a0270a
127097414
1344aa723
142b33d28
151cbc31a
hex141fa90

21101200 has 60 divisors (see below), whose sum is σ = 51478848. Its totient is φ = 8310400.

The previous prime is 21101123. The next prime is 21101207. The reversal of 21101200 is 210112.

It is not an unprimeable number, because it can be changed into a prime (21101207) 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 11 ways as a sum of consecutive naturals, for example, 28029 + ... + 28771.

Almost surely, 221101200 is an apocalyptic number.

21101200 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 21101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25739424).

21101200 is an abundant number, since it is smaller than the sum of its proper divisors (30377648).

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

21101200 is a wasteful number, since it uses less digits than its factorization.

21101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 21101200 is about 4593.6042493885. The cubic root of 21101200 is about 276.3348872029.

Adding to 21101200 its reverse (210112), we get a palindrome (21311312).

The spelling of 21101200 in words is "twenty-one million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 568 710 743 1136 1420 1486 1775 2840 2972 3550 3715 5680 5944 7100 7430 11888 14200 14860 18575 28400 29720 37150 52753 59440 74300 105506 148600 211012 263765 297200 422024 527530 844048 1055060 1318825 2110120 2637650 4220240 5275300 10550600 21101200