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21143100 = 223521143149
BaseRepresentation
bin101000010100…
…1111000111100
31110210011212210
41100221320330
520403034400
62033100420
7344466456
oct120517074
943704783
1021143100
1110a31140
1270b7710
1344c3814
142b452d6
151cc9950
hex1429e3c

21143100 has 144 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 4972800.

The previous prime is 21143081. The next prime is 21143113. The reversal of 21143100 is 134112.

21143100 = 5062 + 5072 + ... + 5772.

It is a happy number.

It is a super-2 number, since 2×211431002 = 894061355220000, which contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141826 + ... + 141974.

It is an arithmetic number, because the mean of its divisors is an integer number (477400).

Almost surely, 221143100 is an apocalyptic number.

21143100 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 21143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

21143100 is an abundant number, since it is smaller than the sum of its proper divisors (47602500).

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

21143100 is a wasteful number, since it uses less digits than its factorization.

21143100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 21143100 is about 4598.1626765481. The cubic root of 21143100 is about 276.5176694866.

Adding to 21143100 its reverse (134112), we get a palindrome (21277212).

The spelling of 21143100 in words is "twenty-one million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 43 44 50 55 60 66 75 86 100 110 129 132 149 150 165 172 215 220 258 275 298 300 330 430 447 473 516 550 596 645 660 745 825 860 894 946 1075 1100 1290 1419 1490 1639 1650 1788 1892 2150 2235 2365 2580 2838 2980 3225 3278 3300 3725 4300 4470 4730 4917 5676 6407 6450 6556 7095 7450 8195 8940 9460 9834 11175 11825 12814 12900 14190 14900 16390 19221 19668 22350 23650 24585 25628 28380 32035 32780 35475 38442 40975 44700 47300 49170 64070 70477 70950 76884 81950 96105 98340 122925 128140 140954 141900 160175 163900 192210 211431 245850 281908 320350 352385 384420 422862 480525 491700 640700 704770 845724 961050 1057155 1409540 1761925 1922100 2114310 3523850 4228620 5285775 7047700 10571550 21143100