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11106101068701 = 3291317091374437
BaseRepresentation
bin1010000110011101011100…
…1101011000001110011101
31110022201210021112102102120
42201213113031120032131
52423430243333144301
635342023345413153
72224250352323202
oct241472715301635
943281707472376
1011106101068701
1135a2086577251
1212b452a93a1b9
136273bac28602
142a57769d3ca9
15143d66342e36
hexa19d735839d

11106101068701 has 32 divisors (see below), whose sum is σ = 15457479523200. Its totient is φ = 7084173008640.

The previous prime is 11106101068679. The next prime is 11106101068709. The reversal of 11106101068701 is 10786010160111.

It is not a de Polignac number, because 11106101068701 - 25 = 11106101068669 is a prime.

It is a super-3 number, since 3×111061010687013 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106101068709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7393255 + ... + 8767691.

It is an arithmetic number, because the mean of its divisors is an integer number (483046235100).

Almost surely, 211106101068701 is an apocalyptic number.

It is an amenable number.

11106101068701 is a deficient number, since it is larger than the sum of its proper divisors (4351378454499).

11106101068701 is a wasteful number, since it uses less digits than its factorization.

11106101068701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375309.

The product of its (nonzero) digits is 2016, while the sum is 33.

The spelling of 11106101068701 in words is "eleven trillion, one hundred six billion, one hundred one million, sixty-eight thousand, seven hundred one".

Divisors: 1 3 29 87 131 393 709 2127 3799 11397 20561 61683 92879 278637 1374437 2693491 4123311 8080473 39858673 119576019 180051247 540153741 974475833 2923427499 5221486163 15664458489 28259799157 84779397471 127656334123 382969002369 3702033689567 11106101068701