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21222000020020 = 22534923091316761
BaseRepresentation
bin1001101001101001000011…
…10001011100101000110100
32210010210200200002102120111
410310310201301130220310
510240200124001120040
6113045130251312404
74320144641555662
oct464644161345064
983123620072514
1021222000020020
116842221833858
122468b70a4b704
13bac2c2729867
1453521652dc32
1526c0761a5dea
hex134d21c5ca34

21222000020020 has 48 divisors (see below), whose sum is σ = 44713287234000. Its totient is φ = 8460804510720.

The previous prime is 21222000019991. The next prime is 21222000020029. The reversal of 21222000020020 is 2002000022212.

It can be written as a sum of positive squares in 8 ways, for example, as 5096522972304 + 16125477047716 = 2257548^2 + 4015654^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222000020029) 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, 15458440 + ... + 16775200.

It is an arithmetic number, because the mean of its divisors is an integer number (931526817375).

Almost surely, 221222000020020 is an apocalyptic number.

21222000020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222000020020 is an abundant number, since it is smaller than the sum of its proper divisors (23491287213980).

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

21222000020020 is a wasteful number, since it uses less digits than its factorization.

21222000020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319428 (or 1319426 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 21222000020020 its reverse (2002000022212), we get a palindrome (23224000042232).

The spelling of 21222000020020 in words is "twenty-one trillion, two hundred twenty-two billion, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 349 698 1396 1745 2309 3490 4618 6980 9236 11545 23090 46180 805841 1316761 1611682 2633522 3223364 4029205 5267044 6583805 8058410 13167610 16116820 26335220 459549589 919099178 1838198356 2297747945 3040401149 4595495890 6080802298 9190991780 12161604596 15202005745 30404011490 60808022980 1061100001001 2122200002002 4244400004004 5305500005005 10611000010010 21222000020020