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20110221020120 = 2357211284796007
BaseRepresentation
bin1001001001010010001101…
…00101001000101111011000
32122012111222212202110122012
410210221012211020233120
510113441213040120440
6110434301421045052
74143626011154600
oct444510645105730
978174885673565
1020110221020120
116453773547900
1223095b43b6788
13b2b50251777a
144d74a8935c00
1524d1a658ae65
hex124a46948bd8

20110221020120 has 144 divisors (see below), whose sum is σ = 57855468298320. Its totient is φ = 6268120763520.

The previous prime is 20110221020117. The next prime is 20110221020161. The reversal of 20110221020120 is 2102012201102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20110221020095 and 20110221020104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42160844 + ... + 42635163.

It is an arithmetic number, because the mean of its divisors is an integer number (401774085405).

Almost surely, 220110221020120 is an apocalyptic number.

20110221020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110221020120 is an abundant number, since it is smaller than the sum of its proper divisors (37745247278200).

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

20110221020120 is a wasteful number, since it uses less digits than its factorization.

20110221020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84796054 (or 84796032 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20110221020120 its reverse (2102012201102), we get a palindrome (22212233221222).

The spelling of 20110221020120 in words is "twenty trillion, one hundred ten billion, two hundred twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 121 140 154 196 220 242 245 280 308 385 392 440 484 490 539 605 616 770 847 968 980 1078 1210 1540 1694 1960 2156 2420 2695 3080 3388 4235 4312 4840 5390 5929 6776 8470 10780 11858 16940 21560 23716 29645 33880 47432 59290 118580 237160 84796007 169592014 339184028 423980035 593572049 678368056 847960070 932756077 1187144098 1695920140 1865512154 2374288196 2967860245 3391840280 3731024308 4155004343 4663780385 4748576392 5935720490 6529292539 7462048616 8310008686 9327560770 10260316847 11871440980 13058585078 16620017372 18655121540 20520633694 20775021715 23742881960 26117170156 32646462695 33240034744 37310243080 41041267388 41550043430 45705047773 51301584235 52234340312 65292925390 71822217929 82082534776 83100086860 91410095546 102603168470 130585850780 143644435858 166200173720 182820191092 205206336940 228525238865 261171701560 287288871716 359111089645 365640382184 410412673880 457050477730 502755525503 574577743432 718222179290 914100955460 1005511051006 1436444358580 1828201910920 2011022102012 2513777627515 2872888717160 4022044204024 5027555255030 10055110510060 20110221020120