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201110011101 = 32172945325673
BaseRepresentation
bin1011101101001100010…
…1110011110011011101
3201020002200222002110200
42323103011303303131
511243333130323401
6232215541254113
720346456613656
oct2732305636335
9636080862420
10201110011101
11783213a3a4a
1232b87404339
1315c7029678c
149a3b6a852d
155370b36686
hex2ed3173cdd

201110011101 has 24 divisors (see below), whose sum is σ = 318186231480. Its totient is φ = 121835406336.

The previous prime is 201110011073. The next prime is 201110011111. The reversal of 201110011101 is 101110011102.

It can be written as a sum of positive squares in 4 ways, for example, as 63138623076 + 137971388025 = 251274^2 + 371445^2 .

It is not a de Polignac number, because 201110011101 - 211 = 201110009053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201110011111) 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 23 ways as a sum of consecutive naturals, for example, 22658400 + ... + 22667273.

It is an arithmetic number, because the mean of its divisors is an integer number (13257759645).

Almost surely, 2201110011101 is an apocalyptic number.

It is an amenable number.

201110011101 is a deficient number, since it is larger than the sum of its proper divisors (117076220379).

201110011101 is a wasteful number, since it uses less digits than its factorization.

201110011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45325725 (or 45325722 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 201110011101 its reverse (101110011102), we get a palindrome (302220022203).

Subtracting from 201110011101 its reverse (101110011102), we obtain a palindrome (99999999999).

The spelling of 201110011101 in words is "two hundred one billion, one hundred ten million, eleven thousand, one hundred one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 45325673 135977019 407931057 770536441 1314444517 2311609323 3943333551 6934827969 11830000653 22345556789 67036670367 201110011101