Search a number
-
+
21300214302 = 23323411812311
BaseRepresentation
bin10011110101100101…
…110111101000011110
32000222110002222222000
4103311211313220132
5322110323324202
613441333303130
71352560556103
oct236545675036
960873088860
1021300214302
1190404632a4
124165494aa6
132015b89303
141060c60aaa
15849e9e91c
hex4f5977a1e

21300214302 has 128 divisors (see below), whose sum is σ = 50898032640. Its totient is φ = 6586272000.

The previous prime is 21300214249. The next prime is 21300214319. The reversal of 21300214302 is 20341200312.

21300214302 is a `hidden beast` number, since 213 + 0 + 0 + 21 + 430 + 2 = 666.

It is a super-3 number, since 3×213002143023 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9215727 + ... + 9218037.

It is an arithmetic number, because the mean of its divisors is an integer number (397640880).

Almost surely, 221300214302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21300214302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25449016320).

21300214302 is an abundant number, since it is smaller than the sum of its proper divisors (29597818338).

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

21300214302 is a wasteful number, since it uses less digits than its factorization.

21300214302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21300214302 its reverse (20341200312), we get a palindrome (41641414614).

The spelling of 21300214302 in words is "twenty-one billion, three hundred million, two hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 82 123 138 181 207 246 362 369 414 543 621 738 943 1086 1107 1242 1629 1886 2214 2311 2829 3258 4163 4622 4887 5658 6933 7421 8326 8487 9774 12489 13866 14842 16974 20799 22263 24978 25461 37467 41598 44526 50922 53153 62397 66789 74934 94751 106306 112401 124794 133578 159459 170683 189502 200367 224802 284253 318918 341366 400734 418291 478377 512049 568506 836582 852759 956754 1024098 1254873 1435131 1536147 1705518 2179273 2509746 2558277 2870262 3072294 3764619 4358546 4608441 5116554 6537819 7529238 9216882 9620693 11293857 13075638 17149931 19241386 19613457 22587714 28862079 34299862 39226914 51449793 57724158 58840371 86586237 102899586 117680742 154349379 173172474 259758711 308698758 394448413 463048137 519517422 788896826 926096274 1183345239 2366690478 3550035717 7100071434 10650107151 21300214302