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1100013312101 = 111916332289703
BaseRepresentation
bin10000000000011101111…
…001110001100001100101
310220011022211010002111112
4100000131321301201211
5121010311401441401
62201201130514405
7142321232610224
oct20003571614145
93804284102445
101100013312101
11394570923630
12159234295a05
137c966789562
143b353170cbb
151d931c303bb
hex1001de71865

1100013312101 has 16 divisors (see below), whose sum is σ = 1270922749440. Its totient is φ = 941567710320.

The previous prime is 1100013312091. The next prime is 1100013312133. The reversal of 1100013312101 is 1012133100011.

It is a happy number.

It is not a de Polignac number, because 1100013312101 - 218 = 1100013049957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100013311101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16110785 + ... + 16178918.

It is an arithmetic number, because the mean of its divisors is an integer number (79432671840).

Almost surely, 21100013312101 is an apocalyptic number.

1100013312101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100013312101 is a deficient number, since it is larger than the sum of its proper divisors (170909437339).

1100013312101 is a wasteful number, since it uses less digits than its factorization.

1100013312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32289896.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1100013312101 its reverse (1012133100011), we get a palindrome (2112146412112).

The spelling of 1100013312101 in words is "one trillion, one hundred billion, thirteen million, three hundred twelve thousand, one hundred one".

Divisors: 1 11 19 163 209 1793 3097 34067 32289703 355186733 613504357 5263221589 6748547927 57895437479 100001210191 1100013312101