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1101110000101 is a prime number
BaseRepresentation
bin10000000001011111010…
…001010011100111100101
310220021011020201121121121
4100001133101103213211
5121020033130000401
62201502024413541
7142360350400306
oct20013721234745
93807136647547
101101110000101
11394a83986551
1215949b6172b1
137caaca4a877
143b418a8a7ad
151d99815eca1
hex1005f4539e5

1101110000101 has 2 divisors, whose sum is σ = 1101110000102. Its totient is φ = 1101110000100.

The previous prime is 1101110000083. The next prime is 1101110000129. The reversal of 1101110000101 is 1010000111011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 708751831876 + 392358168225 = 841874^2 + 626385^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101110000101 - 229 = 1100573129189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101110000171) 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, 550555000050 + 550555000051.

It is an arithmetic number, because the mean of its divisors is an integer number (550555000051).

Almost surely, 21101110000101 is an apocalyptic number.

It is an amenable number.

1101110000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101110000101 is an equidigital number, since it uses as much as digits as its factorization.

1101110000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1101110000101 its reverse (1010000111011), we get a palindrome (2111110111112).

The spelling of 1101110000101 in words is "one trillion, one hundred one billion, one hundred ten million, one hundred one", and thus it is an aban number.