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21211123231120 = 245265139040389
BaseRepresentation
bin1001101001010100110010…
…11101110010100110010000
32210002202121122111022012011
410310222121131302212100
510240010340021343440
6113040131104112304
74316311256440114
oct464523135624620
983082548438164
1021211123231120
116838650100319
122466a36305694
13bab27b1b18b4
145348a3b73744
1526bb3b3539ea
hex134a99772990

21211123231120 has 20 divisors (see below), whose sum is σ = 49315861512540. Its totient is φ = 8484449292416.

The previous prime is 21211123231087. The next prime is 21211123231121. The reversal of 21211123231120 is 2113232111212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7955378198784 + 13255745032336 = 2820528^2 + 3640844^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 21211123231091 and 21211123231100.

It is not an unprimeable number, because it can be changed into a prime (21211123231121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132569520115 + ... + 132569520274.

It is an arithmetic number, because the mean of its divisors is an integer number (2465793075627).

Almost surely, 221211123231120 is an apocalyptic number.

21211123231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211123231120 is an abundant number, since it is smaller than the sum of its proper divisors (28104738281420).

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

21211123231120 is a wasteful number, since it uses less digits than its factorization.

21211123231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265139040402 (or 265139040396 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 21211123231120 its reverse (2113232111212), we get a palindrome (23324355342332).

The spelling of 21211123231120 in words is "twenty-one trillion, two hundred eleven billion, one hundred twenty-three million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 265139040389 530278080778 1060556161556 1325695201945 2121112323112 2651390403890 4242224646224 5302780807780 10605561615560 21211123231120