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1100211200100 = 2232521222456889
BaseRepresentation
bin10000000000101001101…
…100101010000001100100
310220011211121110211210200
4100000221230222001210
5121011213031400400
62201232520150500
7142326154620165
oct20005154520144
93804747424720
101100211200100
113946625a3831
1215928a608430
137c99878444c
143b37156376c
151d9442bdb00
hex10029b2a064

1100211200100 has 54 divisors (see below), whose sum is σ = 3448550886690. Its totient is φ = 293389653120.

The previous prime is 1100211200071. The next prime is 1100211200131. The reversal of 1100211200100 is 10021120011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16492723776 + 1083718476324 = 128424^2 + 1041018^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 611227545 + ... + 611229344.

Almost surely, 21100211200100 is an apocalyptic number.

1100211200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100211200100 is an abundant number, since it is smaller than the sum of its proper divisors (2348339686590).

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

1100211200100 is a wasteful number, since it uses less digits than its factorization.

1100211200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222456909 (or 1222456899 counting only the distinct ones).

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

Adding to 1100211200100 its reverse (10021120011), we get a palindrome (1110232320111).

The spelling of 1100211200100 in words is "one trillion, one hundred billion, two hundred eleven million, two hundred 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 1222456889 2444913778 3667370667 4889827556 6112284445 7334741334 11002112001 12224568890 14669482668 18336853335 22004224002 24449137780 30561422225 36673706670 44008448004 55010560005 61122844450 73347413340 91684266675 110021120010 122245688900 183368533350 220042240020 275052800025 366737066700 550105600050 1100211200100