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20111121001220 = 2251908295269409
BaseRepresentation
bin1001001001010011111000…
…01110010010101100000100
32122012121022121020020121112
410210221330032102230010
510114000033434014340
6110434531010504152
74143660216654314
oct444517416225404
978177277206545
1020111121001220
116454095566a37
122309805895058
13b2b616b05672
144d7552289444
1524d20a5b2065
hex124a7c392b04

20111121001220 has 24 divisors (see below), whose sum is σ = 42233583432600. Its totient is φ = 8044404718592.

The previous prime is 20111121001217. The next prime is 20111121001247. The reversal of 20111121001220 is 2210012111102.

It can be written as a sum of positive squares in 4 ways, for example, as 2943804925504 + 17167316075716 = 1715752^2 + 4143346^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20111121001195 and 20111121001204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1181876 + ... + 6451284.

It is an arithmetic number, because the mean of its divisors is an integer number (1759732643025).

Almost surely, 220111121001220 is an apocalyptic number.

20111121001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111121001220 is an abundant number, since it is smaller than the sum of its proper divisors (22122462431380).

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

20111121001220 is a wasteful number, since it uses less digits than its factorization.

20111121001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460247 (or 5460245 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20111121001220 its reverse (2210012111102), we get a palindrome (22321133112322).

The spelling of 20111121001220 in words is "twenty trillion, one hundred eleven billion, one hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 190829 381658 763316 954145 1908290 3816580 5269409 10538818 21077636 26347045 52694090 105388180 1005556050061 2011112100122 4022224200244 5027780250305 10055560500610 20111121001220