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111111112000001 is a prime number
BaseRepresentation
bin11001010000111000010010…
…010111001000001000000001
3112120102010012102210122012102
4121100320102113020020001
5104030421024133000001
61032151423514040145
732255340635631551
oct3120702227101001
9476363172718172
10111111112000001
1132448a5a077263
12105660b2719055
1349cc96b259859
141d61b41111161
15cca3c59c7e6b
hex650e125c8201

111111112000001 has 2 divisors, whose sum is σ = 111111112000002. Its totient is φ = 111111112000000.

The previous prime is 111111111999973. The next prime is 111111112000037. The reversal of 111111112000001 is 100000211111111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82378295910001 + 28732816090000 = 9076249^2 + 5360300^2 .

It is an emirp because it is prime and its reverse (100000211111111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111111112000001 is a prime.

It is not a weakly prime, because it can be changed into another prime (111111112020001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555556000000 + 55555556000001.

It is an arithmetic number, because the mean of its divisors is an integer number (55555556000001).

Almost surely, 2111111112000001 is an apocalyptic number.

It is an amenable number.

111111112000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111112000001 is an equidigital number, since it uses as much as digits as its factorization.

111111112000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 111111112000001 its reverse (100000211111111), we get a palindrome (211111323111112).

The spelling of 111111112000001 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred twelve million, one", and thus it is an aban number.