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20321123440112 = 24111377091188689
BaseRepresentation
bin1001001111011011000010…
…10110000001010111110000
32122221200101000212110202122
410213231201112001113300
510130420130100040422
6111115221211533412
74165103245151615
oct447554126012760
978850330773678
1020321123440112
11652515a458560
12234245315a268
13b45373487121
1450379496650c
152538ebc26d42
hex127b615815f0

20321123440112 has 80 divisors (see below), whose sum is σ = 43326038786400. Its totient is φ = 9156511211520.

The previous prime is 20321123440097. The next prime is 20321123440127. The reversal of 20321123440112 is 21104432112302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20321123440097) and next prime (20321123440127).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16501064 + ... + 17689752.

It is an arithmetic number, because the mean of its divisors is an integer number (541575484830).

Almost surely, 220321123440112 is an apocalyptic number.

20321123440112 is a gapful number since it is divisible by the number (22) 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 20321123440112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21663019393200).

20321123440112 is an abundant number, since it is smaller than the sum of its proper divisors (23004915346288).

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

20321123440112 is a wasteful number, since it uses less digits than its factorization.

20321123440112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189554 (or 1189548 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 20321123440112 its reverse (21104432112302), we get a palindrome (41425555552414).

The spelling of 20321123440112 in words is "twenty trillion, three hundred twenty-one billion, one hundred twenty-three million, four hundred forty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 137 176 274 548 709 1096 1418 1507 2192 2836 3014 5672 6028 7799 11344 12056 15598 24112 31196 62392 97133 124784 194266 388532 777064 1068463 1188689 1554128 2136926 2377378 4273852 4754756 8547704 9509512 13075579 17095408 19019024 26151158 52302316 104604632 162850393 209209264 325700786 651401572 842780501 1302803144 1685561002 1791354323 2605606288 3371122004 3582708646 6742244008 7165417292 9270585511 13484488016 14330834584 18541171022 28661669168 37082342044 74164684088 115460928637 148329368176 230921857274 461843714548 923687429096 1270070215007 1847374858192 2540140430014 5080280860028 10160561720056 20321123440112