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21113300 = 225213109149
BaseRepresentation
bin101000010001…
…0100111010100
31110201200000002
41100202213110
520401111200
62032310432
7344313545
oct120424724
943650002
1021113300
1110a1080a
1270a2418
1344b30a0
142b384cc
151cc0bd5
hex14229d4

21113300 has 72 divisors (see below), whose sum is σ = 50127000. Its totient is φ = 7672320.

The previous prime is 21113299. The next prime is 21113317. The reversal of 21113300 is 331112.

It can be written as a sum of positive squares in 12 ways, for example, as 11847364 + 9265936 = 3442^2 + 3044^2 .

It is a congruent number.

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, 141626 + ... + 141774.

Almost surely, 221113300 is an apocalyptic number.

21113300 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 21113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25063500).

21113300 is an abundant number, since it is smaller than the sum of its proper divisors (29013700).

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

21113300 is a wasteful number, since it uses less digits than its factorization.

21113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 21113300 is about 4594.9211092248. The cubic root of 21113300 is about 276.3876964148.

Adding to 21113300 its reverse (331112), we get a palindrome (21444412).

The spelling of 21113300 in words is "twenty-one million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 109 130 149 218 260 298 325 436 545 596 650 745 1090 1300 1417 1490 1937 2180 2725 2834 2980 3725 3874 5450 5668 7085 7450 7748 9685 10900 14170 14900 16241 19370 28340 32482 35425 38740 48425 64964 70850 81205 96850 141700 162410 193700 211133 324820 406025 422266 812050 844532 1055665 1624100 2111330 4222660 5278325 10556650 21113300