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11012000000117 is a prime number
BaseRepresentation
bin1010000000111110111001…
…0110010010100001110101
31102222201220012202211211012
42200033232112102201311
52420410034000000432
635230502025122005
72214406424410364
oct240175626224165
942881805684735
1011012000000117
113566187a10686
12129a248629305
1361b57258893c
142a0dab1937db
151416a9e29cb2
hexa03ee592875

11012000000117 has 2 divisors, whose sum is σ = 11012000000118. Its totient is φ = 11012000000116.

The previous prime is 11012000000083. The next prime is 11012000000129. The reversal of 11012000000117 is 71100000021011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6607336584676 + 4404663415441 = 2570474^2 + 2098729^2 .

It is a cyclic number.

It is not a de Polignac number, because 11012000000117 - 236 = 10943280523381 is a prime.

It is a super-3 number, since 3×110120000001173 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11012000000017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5506000000058 + 5506000000059.

It is an arithmetic number, because the mean of its divisors is an integer number (5506000000059).

Almost surely, 211012000000117 is an apocalyptic number.

It is an amenable number.

11012000000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11012000000117 is an equidigital number, since it uses as much as digits as its factorization.

11012000000117 is an odious number, because the sum of its binary digits is odd.

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

Adding to 11012000000117 its reverse (71100000021011), we get a palindrome (82112000021128).

The spelling of 11012000000117 in words is "eleven trillion, twelve billion, one hundred seventeen", and thus it is an aban number.