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21122110020220 = 22511531811501717
BaseRepresentation
bin1001100110101110111111…
…10111010101101001111100
32202210020212011102200020021
410303113133313111221330
510232031040131121340
6112531210254101524
74310010401562526
oct463273767255174
982706764380207
1021122110020220
1168039224aa510
122451733aaa8a4
13ba2a639525c1
1453045bd44a16
1526967b948e4a
hex1335dfdd5a7c

21122110020220 has 48 divisors (see below), whose sum is σ = 49301830757088. Its totient is φ = 7535847138560.

The previous prime is 21122110020173. The next prime is 21122110020227. The reversal of 21122110020220 is 2202001122112.

It is a happy number.

It is a super-2 number, since 2×211221100202202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122110020194 and 21122110020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122110020227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905739199 + ... + 905762518.

It is an arithmetic number, because the mean of its divisors is an integer number (1027121474106).

Almost surely, 221122110020220 is an apocalyptic number.

21122110020220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122110020220 is an abundant number, since it is smaller than the sum of its proper divisors (28179720736868).

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

21122110020220 is a wasteful number, since it uses less digits than its factorization.

21122110020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811501790 (or 1811501788 counting only the distinct ones).

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

Adding to 21122110020220 its reverse (2202001122112), we get a palindrome (23324111142332).

The spelling of 21122110020220 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred ten million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 1811501717 3623003434 7246006868 9057508585 18115017170 19926518887 36230034340 39853037774 79706075548 96009591001 99632594435 192019182002 199265188870 384038364004 398530377740 480047955005 960095910010 1056105501011 1920191820020 2112211002022 4224422004044 5280527505055 10561055010110 21122110020220