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21122000011220 = 2253390493114889
BaseRepresentation
bin1001100110101110110010…
…10011101011111111010100
32202210020120111102122020212
410303113121103223333110
510232030324000324340
6112531151324144552
74310004564532553
oct463273123537724
982706514378225
1021122000011220
1168038763a2089
122451703098158
13ba2a46c16114
1453044b4a9d9a
15269671e68a65
hex1335d94ebfd4

21122000011220 has 24 divisors (see below), whose sum is σ = 44356345089000. Its totient is φ = 8448772372992.

The previous prime is 21122000011219. The next prime is 21122000011243. The reversal of 21122000011220 is 2211000022112.

It can be written as a sum of positive squares in 4 ways, for example, as 960768515344 + 20161231495876 = 980188^2 + 4490126^2 .

It is a super-2 number, since 2×211220000112202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122000011195 and 21122000011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5223536 + ... + 8338424.

It is an arithmetic number, because the mean of its divisors is an integer number (1848181045375).

Almost surely, 221122000011220 is an apocalyptic number.

21122000011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122000011220 is an abundant number, since it is smaller than the sum of its proper divisors (23234345077780).

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

21122000011220 is a wasteful number, since it uses less digits than its factorization.

21122000011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453947 (or 3453945 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21122000011220 its reverse (2211000022112), we get a palindrome (23333000033332).

The spelling of 21122000011220 in words is "twenty-one trillion, one hundred twenty-two billion, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 339049 678098 1356196 1695245 3114889 3390490 6229778 6780980 12459556 15574445 31148890 62297780 1056100000561 2112200001122 4224400002244 5280500002805 10561000005610 21122000011220