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21302303033312 = 257181557943289
BaseRepresentation
bin1001101011111110101000…
…01101001000011111100000
32210102110222010101011122222
410311333110031020133200
510243004104034031222
6113150050511450212
74326016633120160
oct465772415103740
983373863334588
1021302303033312
11687328a792244
122480642226968
13bb6a4c575b82
145390736245a0
1526e1c607b542
hex135fd43487e0

21302303033312 has 96 divisors (see below), whose sum is σ = 48281566656960. Its totient is φ = 9062809251840.

The previous prime is 21302303033299. The next prime is 21302303033317. The reversal of 21302303033312 is 21333030320312.

It is a happy number.

It is a super-2 number, since 2×213023030333122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302303033317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22111364 + ... + 23054652.

It is an arithmetic number, because the mean of its divisors is an integer number (502932986010).

Almost surely, 221302303033312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21302303033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24140783328480).

21302303033312 is an abundant number, since it is smaller than the sum of its proper divisors (26979263623648).

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

21302303033312 is a wasteful number, since it uses less digits than its factorization.

21302303033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944044 (or 944036 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 21302303033312 its reverse (21333030320312), we get a palindrome (42635333353624).

The spelling of 21302303033312 in words is "twenty-one trillion, three hundred two billion, three hundred three million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 181 224 362 557 724 1114 1267 1448 2228 2534 2896 3899 4456 5068 5792 7798 8912 10136 15596 17824 20272 31192 40544 62384 100817 124768 201634 403268 705719 806536 943289 1411438 1613072 1886578 2822876 3226144 3773156 5645752 6603023 7546312 11291504 13206046 15092624 22583008 26412092 30185248 52824184 105648368 170735309 211296736 341470618 525411973 682941236 1050823946 1195147163 1365882472 2101647892 2390294326 2731764944 3677883811 4203295784 4780588652 5463529888 7355767622 8406591568 9561177304 14711535244 16813183136 19122354608 29423070488 38244709216 58846140976 95099567113 117692281952 190199134226 380398268452 665696969791 760796536904 1331393939582 1521593073808 2662787879164 3043186147616 5325575758328 10651151516656 21302303033312