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21222110120020 = 2253180942310519
BaseRepresentation
bin1001101001101001010000…
…10101011100100001010100
32210010210222100021002101021
410310310220111130201110
510240200340142320040
6113045145223210524
74320150446445145
oct464645025344124
983123870232337
1021222110120020
1168422789a3597
122468ba18a6a44
13bac30c4985a4
14535226dcdacc
1526c080ba324a
hex134d2855c854

21222110120020 has 48 divisors (see below), whose sum is σ = 46060924492800. Its totient is φ = 8204855650560.

The previous prime is 21222110120017. The next prime is 21222110120021. The reversal of 21222110120020 is 2002101122212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21222110119976 and 21222110120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222110120021) by changing a digit.

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, 20653680 + ... + 21656839.

It is an arithmetic number, because the mean of its divisors is an integer number (959602593600).

Almost surely, 221222110120020 is an apocalyptic number.

21222110120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222110120020 is an abundant number, since it is smaller than the sum of its proper divisors (24838814372780).

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

21222110120020 is a wasteful number, since it uses less digits than its factorization.

21222110120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42311368 (or 42311366 counting only the distinct ones).

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

Adding to 21222110120020 its reverse (2002101122212), we get a palindrome (23224211242232).

The spelling of 21222110120020 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 809 1618 3236 4045 8090 16180 25079 50158 100316 125395 250790 501580 42310519 84621038 169242076 211552595 423105190 846210380 1311626089 2623252178 5246504356 6558130445 13116260890 26232521780 34229209871 68458419742 136916839484 171146049355 342292098710 684584197420 1061105506001 2122211012002 4244422024004 5305527530005 10611055060010 21222110120020