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21321210300 = 223521343127139
BaseRepresentation
bin10011110110110101…
…111101100110111100
32001000220121201001120
4103312311331212330
5322131212212200
613443403310540
71353234203655
oct236665754674
961026551046
1021321210300
1190512a3965
12417051b450
13201a32ab90
14106396852c
1584bc4a9a0
hex4f6d7d9bc

21321210300 has 144 divisors (see below), whose sum is σ = 67980232320. Its totient is φ = 5126204160.

The previous prime is 21321210283. The next prime is 21321210319. The reversal of 21321210300 is 301212312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21321210300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104131 + ... + 231269.

Almost surely, 221321210300 is an apocalyptic number.

21321210300 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 21321210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33990116160).

21321210300 is an abundant number, since it is smaller than the sum of its proper divisors (46659022020).

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

21321210300 is a wasteful number, since it uses less digits than its factorization.

21321210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127212 (or 127205 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21321210300 its reverse (301212312), we get a palindrome (21622422612).

The spelling of 21321210300 in words is "twenty-one billion, three hundred twenty-one million, two hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 43 50 52 60 65 75 78 86 100 129 130 150 156 172 195 215 258 260 300 325 390 430 516 559 645 650 780 860 975 1075 1118 1290 1300 1677 1950 2150 2236 2580 2795 3225 3354 3900 4300 5590 6450 6708 8385 11180 12900 13975 16770 27950 33540 41925 55900 83850 127139 167700 254278 381417 508556 635695 762834 1271390 1525668 1652807 1907085 2542780 3178475 3305614 3814170 4958421 5466977 6356950 6611228 7628340 8264035 9535425 9916842 10933954 12713900 16400931 16528070 19070850 19833684 21867908 24792105 27334885 32801862 33056140 38141700 41320175 49584210 54669770 65603724 71070701 82004655 82640350 99168420 109339540 123960525 136674425 142141402 164009310 165280700 213212103 247921050 273348850 284282804 328018620 355353505 410023275 426424206 495842100 546697700 710707010 820046550 852848412 1066060515 1421414020 1640093100 1776767525 2132121030 3553535050 4264242060 5330302575 7107070100 10660605150 21321210300