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110011111011101 is a prime number
BaseRepresentation
bin11001000000110111110101…
…001100010111001100011101
3112102111221220110212121221202
4121000313311030113030131
5103404410223404323401
61025550223503205245
732113016612535116
oct3100676514271435
9472457813777852
10110011111011101
11320644a52002a3
1210408a825a6825
1349500071c6441
141d247cd86b20d
15cab994dce06b
hex640df531731d

110011111011101 has 2 divisors, whose sum is σ = 110011111011102. Its totient is φ = 110011111011100.

The previous prime is 110011111011059. The next prime is 110011111011103. The reversal of 110011111011101 is 101110111110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91215851388601 + 18795259622500 = 9550699^2 + 4335350^2 .

It is a cyclic number.

It is not a de Polignac number, because 110011111011101 - 210 = 110011111010077 is a prime.

It is a super-3 number, since 3×1100111110111013 (a number of 43 digits) contains 333 as substring.

Together with 110011111011103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110011111011103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005555505550 + 55005555505551.

It is an arithmetic number, because the mean of its divisors is an integer number (55005555505551).

Almost surely, 2110011111011101 is an apocalyptic number.

It is an amenable number.

110011111011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011111011101 is an equidigital number, since it uses as much as digits as its factorization.

110011111011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 110011111011101 its reverse (101110111110011), we get a palindrome (211121222121112).

The spelling of 110011111011101 in words is "one hundred ten trillion, eleven billion, one hundred eleven million, eleven thousand, one hundred one".