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1011112002011 is a prime number
BaseRepresentation
bin11101011011010101111…
…10001100000111011011
310120122212010121121121002
432231222332030013123
5113031224133031021
62052255355135215
7133023204132236
oct16555276140733
93518763547532
101011112002011
1135a8a0402531
12143b6344450b
1374469479867
1436d1c15041d
151b47c07b50b
hexeb6af8c1db

1011112002011 has 2 divisors, whose sum is σ = 1011112002012. Its totient is φ = 1011112002010.

The previous prime is 1011112001953. The next prime is 1011112002077. The reversal of 1011112002011 is 1102002111101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1011112002011 is a prime.

It is a super-4 number, since 4×10111120020114 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1011112001983 and 1011112002001.

It is not a weakly prime, because it can be changed into another prime (1011112032011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505556001005 + 505556001006.

It is an arithmetic number, because the mean of its divisors is an integer number (505556001006).

Almost surely, 21011112002011 is an apocalyptic number.

1011112002011 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011112002011 is an equidigital number, since it uses as much as digits as its factorization.

1011112002011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011112002011 its reverse (1102002111101), we get a palindrome (2113114113112).

The spelling of 1011112002011 in words is "one trillion, eleven billion, one hundred twelve million, two thousand, eleven".