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110001300201 = 32137229130057
BaseRepresentation
bin110011001110010010…
…1101010001011101001
3101111221011212000220200
41212130211222023221
53300240313101301
6122311153342413
710642635424062
oct1463445521351
9344834760820
10110001300201
1142718958a61
121939b267a09
13a4b0863960
145477441569
152cdc2a2c86
hex199c96a2e9

110001300201 has 24 divisors (see below), whose sum is σ = 171138119880. Its totient is φ = 67683223296.

The previous prime is 110001300187. The next prime is 110001300229. The reversal of 110001300201 is 102003100011.

It can be written as a sum of positive squares in 4 ways, for example, as 33797145600 + 76204154601 = 183840^2 + 276051^2 .

It is not a de Polignac number, because 110001300201 - 25 = 110001300169 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (110001300281) 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 23 ways as a sum of consecutive naturals, for example, 780765 + ... + 910821.

It is an arithmetic number, because the mean of its divisors is an integer number (7130754995).

Almost surely, 2110001300201 is an apocalyptic number.

It is an amenable number.

110001300201 is a deficient number, since it is larger than the sum of its proper divisors (61136819679).

110001300201 is a wasteful number, since it uses less digits than its factorization.

110001300201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137305 (or 137302 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110001300201 its reverse (102003100011), we get a palindrome (212004400212).

The spelling of 110001300201 in words is "one hundred ten billion, one million, three hundred thousand, two hundred one".

Divisors: 1 3 9 13 39 117 7229 21687 65061 93977 130057 281931 390171 845793 1170513 1690741 5072223 15216669 940182053 2820546159 8461638477 12222366689 36667100067 110001300201