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1100121110221 = 72671073379293
BaseRepresentation
bin10000000000100100010…
…100111111011011001101
310220011121022221210201111
4100000210110333123031
5121011022001011341
62201215541212021
7142324012101400
oct20004424773315
93804538853644
101100121110221
11394616760991
12159264401011
137c982c00623
143b3635d1d37
151d93b425681
hex1002453f6cd

1100121110221 has 48 divisors (see below), whose sum is σ = 1315003450176. Its totient is φ = 917376413184.

The previous prime is 1100121110203. The next prime is 1100121110227. The reversal of 1100121110221 is 1220111210011.

It is a happy number.

It is not a de Polignac number, because 1100121110221 - 27 = 1100121110093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100121110227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118377051 + ... + 118386343.

It is an arithmetic number, because the mean of its divisors is an integer number (27395905212).

Almost surely, 21100121110221 is an apocalyptic number.

It is an amenable number.

1100121110221 is a deficient number, since it is larger than the sum of its proper divisors (214882339955).

1100121110221 is a wasteful number, since it uses less digits than its factorization.

1100121110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9818 (or 9811 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1100121110221 its reverse (1220111210011), we get a palindrome (2320232320232).

The spelling of 1100121110221 in words is "one trillion, one hundred billion, one hundred twenty-one million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 49 67 107 337 469 749 2359 3283 5243 7169 9293 16513 22579 36059 50183 65051 158053 252413 351281 455357 622631 994351 1106371 1766891 2415953 3131741 4358417 6960457 16911671 21922187 30508919 48723199 66621517 118381697 153455309 209826647 335096287 466350619 1468786529 2345674009 3264454333 10281505703 16419718063 22451451229 157160158603 1100121110221