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1103375221101 = 32557229395989
BaseRepresentation
bin10000000011100110010…
…010011100000101101101
310220111000010010202122200
4100003212102130011231
5121034203024033401
62202514504132113
7142500444430206
oct20034622340555
93814003122580
101103375221101
11395a3660261a
12159a12167039
138008113671a
143b5918645ad
151da7be61686
hex100e649c16d

1103375221101 has 24 divisors (see below), whose sum is σ = 1597338489240. Its totient is φ = 733934998656.

The previous prime is 1103375221097. The next prime is 1103375221103. The reversal of 1103375221101 is 1011225733011.

1103375221101 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 37 + 522 + 1 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42322775625 + 1061052445476 = 205725^2 + 1030074^2 .

It is not a de Polignac number, because 1103375221101 - 22 = 1103375221097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103375221103) 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 23 ways as a sum of consecutive naturals, for example, 11446815 + ... + 11542803.

It is an arithmetic number, because the mean of its divisors is an integer number (66555770385).

Almost surely, 21103375221101 is an apocalyptic number.

It is an amenable number.

1103375221101 is a deficient number, since it is larger than the sum of its proper divisors (493963268139).

1103375221101 is a wasteful number, since it uses less digits than its factorization.

1103375221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98845 (or 98842 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 1103375221101 in words is "one trillion, one hundred three billion, three hundred seventy-five million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 557 1671 2293 5013 6879 20637 95989 287967 863901 1277201 3831603 11494809 53465873 160397619 220102777 481192857 660308331 1980924993 122597246789 367791740367 1103375221101