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11101101100001 = 1113126936917759
BaseRepresentation
bin1010000110001010110100…
…1100000000101111100001
31110022020212211012200210122
42201202231030000233201
52423340023340200001
635335435255010025
72224012430306033
oct241425514005741
943266784180718
1011101101100001
11359aa50190810
1212b3574369915
13626aa20ab053
142a542093dc53
15143b723e5b1b
hexa18ad300be1

11101101100001 has 32 divisors (see below), whose sum is σ = 12252997785600. Its totient is φ = 9973653768000.

The previous prime is 11101101099947. The next prime is 11101101100043. The reversal of 11101101100001 is 10000110110111.

Adding to 11101101100001 its reverse (10000110110111), we get a palindrome (21101211210112).

It is a cyclic number.

It is not a de Polignac number, because 11101101100001 - 226 = 11101033991137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11101101100301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430734760 + ... + 1430742518.

It is an arithmetic number, because the mean of its divisors is an integer number (382906180800).

Almost surely, 211101101100001 is an apocalyptic number.

11101101100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101101100001 is a deficient number, since it is larger than the sum of its proper divisors (1151896685599).

11101101100001 is a wasteful number, since it uses less digits than its factorization.

11101101100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11861.

The product of its (nonzero) digits is 1, while the sum is 8.

The spelling of 11101101100001 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred thousand, one".

Divisors: 1 11 131 269 1441 2959 3691 7759 35239 40601 85349 387629 483521 992879 1016429 2087171 5318731 10921669 11180719 22958881 28638469 130067149 273419401 315023159 1430738639 3007613411 3751639439 7703748161 41268033829 84741229771 1009191009091 11101101100001