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20111110111121 = 531119973388081
BaseRepresentation
bin1001001001010011110111…
…00100101111111110010001
32122012121021211201222012112
410210221323210233332101
510114000023142023441
6110434525541235105
74143660025256621
oct444517344577621
978177254658175
1020111110111121
11645408a3a9057
122309802102a95
13b2b614791913
144d7550a52881
1524d2096604eb
hex124a7b92ff91

20111110111121 has 8 divisors (see below), whose sum is σ = 20490754023144. Its totient is φ = 19731473199360.

The previous prime is 20111110111093. The next prime is 20111110111123. The reversal of 20111110111121 is 12111101111102.

It can be written as a sum of positive squares in 4 ways, for example, as 15026197860496 + 5084912250625 = 3876364^2 + 2254975^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20111110111121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20111110111096 and 20111110111105.

It is not an unprimeable number, because it can be changed into a prime (20111110111123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4241801 + ... + 7629881.

It is an arithmetic number, because the mean of its divisors is an integer number (2561344252893).

Almost surely, 220111110111121 is an apocalyptic number.

It is an amenable number.

20111110111121 is a deficient number, since it is larger than the sum of its proper divisors (379643912023).

20111110111121 is a wasteful number, since it uses less digits than its factorization.

20111110111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500131.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 20111110111121 its reverse (12111101111102), we get a palindrome (32222211222223).

The spelling of 20111110111121 in words is "twenty trillion, one hundred eleven billion, one hundred ten million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 53 111997 3388081 5935841 179568293 379454907757 20111110111121