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1111100000117 is a prime number
BaseRepresentation
bin10000001010110010101…
…110001000011101110101
310221012221110200012100012
4100022302232020131311
5121201013100000432
62210233213030005
7143163044112632
oct20126256103565
93835843605305
101111100000117
1139923aa90408
1215b409185305
1380a12646493
143bac5769189
151dd801e4cb2
hex102b2b88775

1111100000117 has 2 divisors, whose sum is σ = 1111100000118. Its totient is φ = 1111100000116.

The previous prime is 1111100000099. The next prime is 1111100000149. The reversal of 1111100000117 is 7110000011111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1100839525681 + 10260474436 = 1049209^2 + 101294^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111100000117 - 224 = 1111083222901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1111100000177) 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, 555550000058 + 555550000059.

It is an arithmetic number, because the mean of its divisors is an integer number (555550000059).

Almost surely, 21111100000117 is an apocalyptic number.

It is an amenable number.

1111100000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111100000117 is an equidigital number, since it uses as much as digits as its factorization.

1111100000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 1111100000117 its reverse (7110000011111), we get a palindrome (8221100011228).

The spelling of 1111100000117 in words is "one trillion, one hundred eleven billion, one hundred million, one hundred seventeen", and thus it is an aban number.