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11001100101149 is a prime number
BaseRepresentation
bin1010000000010110010010…
…1010011110011000011101
31102221200202120200121101102
42200011210222132120131
52420220223111214044
635221500254322445
72213542341660314
oct240054452363035
942850676617342
1011001100101149
1135615a4233214
1212981061b9425
1361a52630ba92
142a06556dd27b
1514126d06024e
hexa0164a9e61d

11001100101149 has 2 divisors, whose sum is σ = 11001100101150. Its totient is φ = 11001100101148.

The previous prime is 11001100101119. The next prime is 11001100101151. The reversal of 11001100101149 is 94110100110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6891580533124 + 4109519568025 = 2625182^2 + 2027195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11001100101149 is a prime.

It is a super-2 number, since 2×110011001011492 (a number of 27 digits) contains 22 as substring.

Together with 11001100101151, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11001100101149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11001100101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500550050574 + 5500550050575.

It is an arithmetic number, because the mean of its divisors is an integer number (5500550050575).

Almost surely, 211001100101149 is an apocalyptic number.

It is an amenable number.

11001100101149 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001100101149 is an equidigital number, since it uses as much as digits as its factorization.

11001100101149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 11001100101149 in words is "eleven trillion, one billion, one hundred million, one hundred one thousand, one hundred forty-nine".