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21323100 = 223521737113
BaseRepresentation
bin101000101010…
…1110101011100
31111010022210110
41101111311130
520424314400
62041010020
7346146321
oct121256534
944108713
1021323100
11110443a7
127183910
134557726
142b90b48
151d12e50
hex1455d5c

21323100 has 144 divisors (see below), whose sum is σ = 67683168. Its totient is φ = 5160960.

The previous prime is 21323089. The next prime is 21323129. The reversal of 21323100 is 132312.

It is a happy number.

It is a super-2 number, since 2×213231002 = 909349187220000, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188644 + ... + 188756.

It is an arithmetic number, because the mean of its divisors is an integer number (470022).

Almost surely, 221323100 is an apocalyptic number.

21323100 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 21323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33841584).

21323100 is an abundant number, since it is smaller than the sum of its proper divisors (46360068).

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

21323100 is a wasteful number, since it uses less digits than its factorization.

21323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 21323100 is about 4617.6942298078. The cubic root of 21323100 is about 277.3001564161.

Adding to 21323100 its reverse (132312), we get a palindrome (21455412).

The spelling of 21323100 in words is "twenty-one million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 37 50 51 60 68 74 75 85 100 102 111 113 148 150 170 185 204 222 226 255 300 339 340 370 425 444 452 510 555 565 629 678 740 850 925 1020 1110 1130 1258 1275 1356 1695 1700 1850 1887 1921 2220 2260 2516 2550 2775 2825 3145 3390 3700 3774 3842 4181 5100 5550 5650 5763 6290 6780 7548 7684 8362 8475 9435 9605 11100 11300 11526 12543 12580 15725 16724 16950 18870 19210 20905 23052 25086 28815 31450 33900 37740 38420 41810 47175 48025 50172 57630 62715 62900 71077 83620 94350 96050 104525 115260 125430 142154 144075 188700 192100 209050 213231 250860 284308 288150 313575 355385 418100 426462 576300 627150 710770 852924 1066155 1254300 1421540 1776925 2132310 3553850 4264620 5330775 7107700 10661550 21323100