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11001111091813 is a prime number
BaseRepresentation
bin1010000000010110010101…
…0100011001101001100101
31102221200210100100222202001
42200011211110121221211
52420220233414414223
635221501330045301
72213542534254133
oct240054524315145
942850710328661
1011001111091813
1135615aa45a707
121298109a19831
1361a52868952b
142a0656d60753
1514126ded19ad
hexa0165519a65

11001111091813 has 2 divisors, whose sum is σ = 11001111091814. Its totient is φ = 11001111091812.

The previous prime is 11001111091811. The next prime is 11001111091837. The reversal of 11001111091813 is 31819011110011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6258637982529 + 4742473109284 = 2501727^2 + 2177722^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001111091813 - 21 = 11001111091811 is a prime.

It is a super-2 number, since 2×110011110918132 (a number of 27 digits) contains 22 as substring.

Together with 11001111091811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11001111091811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500555545906 + 5500555545907.

It is an arithmetic number, because the mean of its divisors is an integer number (5500555545907).

Almost surely, 211001111091813 is an apocalyptic number.

It is an amenable number.

11001111091813 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001111091813 is an equidigital number, since it uses as much as digits as its factorization.

11001111091813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 28.

The spelling of 11001111091813 in words is "eleven trillion, one billion, one hundred eleven million, ninety-one thousand, eight hundred thirteen".