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20331321000032 = 257222853567383
BaseRepresentation
bin1001001111101110000010…
…01010101000000001100000
32122222122200201101012011002
410213313001022220001200
510131102021134000112
6111124025133011132
74165614042036200
oct447670112500140
978878621335132
1020331321000032
116529512739229
12234441a323aa8
13b4630a086053
14504081034400
15253ce710b1c2
hex127dc12a8060

20331321000032 has 72 divisors (see below), whose sum is σ = 46564475224176. Its totient is φ = 8713026647808.

The previous prime is 20331320999993. The next prime is 20331321000047. The reversal of 20331321000032 is 23000012313302.

It is a super-2 number, since 2×203313210000322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20331320999968 and 20331321000013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35549813 + ... + 36117195.

It is an arithmetic number, because the mean of its divisors is an integer number (646728822558).

Almost surely, 220331321000032 is an apocalyptic number.

It is an amenable number.

20331321000032 is an abundant number, since it is smaller than the sum of its proper divisors (26233154224144).

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

20331321000032 is a wasteful number, since it uses less digits than its factorization.

20331321000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590260 (or 590245 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 20331321000032 its reverse (23000012313302), we get a palindrome (43331333313334).

The spelling of 20331321000032 in words is "twenty trillion, three hundred thirty-one billion, three hundred twenty-one million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 22853 45706 91412 159971 182824 319942 365648 567383 639884 731296 1119797 1134766 1279768 2239594 2269532 2559536 3971681 4479188 4539064 5119072 7943362 8958376 9078128 15886724 17916752 18156256 27801767 31773448 35833504 55603534 63546896 111207068 127093792 222414136 444828272 889656544 12966403699 25932807398 51865614796 90764825893 103731229592 181529651786 207462459184 363059303572 414924918368 635353781251 726118607144 1270707562502 1452237214288 2541415125004 2904474428576 5082830250008 10165660500016 20331321000032