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111000035749 is a prime number
BaseRepresentation
bin110011101100000011…
…1100010000110100101
3101121111210011001112011
41213120013202012211
53304312002120444
6122554231554221
711006453510401
oct1473007420645
9347453131464
10111000035749
1143090698839
121961982b971
13a60c74a435
14552dd40101
152d49cd4734
hex19d81e21a5

111000035749 has 2 divisors, whose sum is σ = 111000035750. Its totient is φ = 111000035748.

The previous prime is 111000035747. The next prime is 111000035759. The reversal of 111000035749 is 947530000111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108909900225 + 2090135524 = 330015^2 + 45718^2 .

It is an emirp because it is prime and its reverse (947530000111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111000035749 - 21 = 111000035747 is a prime.

Together with 111000035747, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 111000035749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111000035747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500017874 + 55500017875.

It is an arithmetic number, because the mean of its divisors is an integer number (55500017875).

Almost surely, 2111000035749 is an apocalyptic number.

It is an amenable number.

111000035749 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000035749 is an equidigital number, since it uses as much as digits as its factorization.

111000035749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 31.

The spelling of 111000035749 in words is "one hundred eleven billion, thirty-five thousand, seven hundred forty-nine".