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201100211100 = 223252223444679
BaseRepresentation
bin1011101101001010000…
…0011011001110011100
3201020002000112012101200
42323102200123032130
511243323123223400
6232214551235500
720346310406355
oct2732240331634
9636060465350
10201100211100
1178316910078
1232b84078b90
1315c6b244c69
149a3a276d2c
15536ed4cb00
hex2ed281b39c

201100211100 has 54 divisors (see below), whose sum is σ = 630337442280. Its totient is φ = 53626722720.

The previous prime is 201100211087. The next prime is 201100211107. The reversal of 201100211100 is 1112001102.

It is a happy number.

201100211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (201100211107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111721440 + ... + 111723239.

Almost surely, 2201100211100 is an apocalyptic number.

201100211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100211100 is an abundant number, since it is smaller than the sum of its proper divisors (429237231180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201100211100 is a wasteful number, since it uses less digits than its factorization.

201100211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223444699 (or 223444689 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201100211100 its reverse (1112001102), we get a palindrome (202212212202).

The spelling of 201100211100 in words is "two hundred one billion, one hundred million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 223444679 446889358 670334037 893778716 1117223395 1340668074 2011002111 2234446790 2681336148 3351670185 4022004222 4468893580 5586116975 6703340370 8044008444 10055010555 11172233950 13406680740 16758350925 20110021110 22344467900 33516701850 40220042220 50275052775 67033403700 100550105550 201100211100