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21222210110020 = 22517347353129529
BaseRepresentation
bin1001101001101001011100…
…10010111000001001000100
32210010211020022102002212121
410310310232102320021010
510240201041242010040
6113045203154255324
74320153102366163
oct464645622701104
983124208362777
1021222210110020
11684231a388557
12246900b287544
13bac32710767a
145352363bb3da
1526c089854c4a
hex134d2e4b8244

21222210110020 has 48 divisors (see below), whose sum is σ = 44825544534960. Its totient is φ = 8439571961856.

The previous prime is 21222210110011. The next prime is 21222210110083. The reversal of 21222210110020 is 2001101222212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 182228241924 + 21039981868096 = 426882^2 + 4586936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21222210109976 and 21222210110003.

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 15 ways as a sum of consecutive naturals, for example, 163776616 + ... + 163906144.

It is an arithmetic number, because the mean of its divisors is an integer number (933865511145).

Almost surely, 221222210110020 is an apocalyptic number.

21222210110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222210110020 is an abundant number, since it is smaller than the sum of its proper divisors (23603334424940).

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

21222210110020 is a wasteful number, since it uses less digits than its factorization.

21222210110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177064 (or 177062 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21222210110020 its reverse (2001101222212), we get a palindrome (23223311332232).

The spelling of 21222210110020 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 47353 94706 129529 189412 236765 259058 473530 518116 647645 947060 1295290 2590580 8192069 16384138 22408517 32768276 40960345 44817034 81920690 89634068 112042585 163841380 224085170 448170340 6133586737 12267173474 24534346948 30667933685 61335867370 122671734740 1061110505501 2122221011002 4244442022004 5305552527505 10611105055010 21222210110020