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21221102222000 = 245316136578147
BaseRepresentation
bin1001101001100111011000…
…10000100111101010110000
32210010201101002201120012222
410310303230100213222300
510240141304132101000
6113044501220340212
74320113460451022
oct464635420475260
983121332646188
1021221102222000
116841900a7591a
122468960244668
13bac1ab724525
1453516d1c8012
1526c022461a85
hex134cec427ab0

21221102222000 has 80 divisors (see below), whose sum is σ = 51344444896992. Its totient is φ = 8483177081600.

The previous prime is 21221102221937. The next prime is 21221102222003. The reversal of 21221102222000 is 22220112212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 21221102222000.

It is not an unprimeable number, because it can be changed into a prime (21221102222003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63074 + ... + 6515073.

Almost surely, 221221102222000 is an apocalyptic number.

21221102222000 is a gapful number since it is divisible by the number (20) 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 21221102222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25672222448496).

21221102222000 is an abundant number, since it is smaller than the sum of its proper divisors (30123342674992).

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

21221102222000 is a wasteful number, since it uses less digits than its factorization.

21221102222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579783 (or 6579767 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21221102222000 its reverse (22220112212), we get a palindrome (21243322334212).

The spelling of 21221102222000 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1613 2000 3226 6452 8065 12904 16130 25808 32260 40325 64520 80650 129040 161300 201625 322600 403250 645200 806500 1613000 3226000 6578147 13156294 26312588 32890735 52625176 65781470 105250352 131562940 164453675 263125880 328907350 526251760 657814700 822268375 1315629400 1644536750 2631258800 3289073500 6578147000 10610551111 13156294000 21221102222 42442204444 53052755555 84884408888 106105511110 169768817776 212211022220 265263777775 424422044440 530527555550 848844088880 1061055111100 1326318888875 2122110222200 2652637777750 4244220444400 5305275555500 10610551111000 21221102222000