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11201100001 = 7131941158009
BaseRepresentation
bin10100110111010001…
…10011100011100001
31001220121211211120121
422123220303203201
5140414440200001
65051250240241
7544400531140
oct123350634341
931817754517
1011201100001
114828802243
122207286081
1310967a8530
1478389b757
154585646a1
hex29ba338e1

11201100001 has 32 divisors (see below), whose sum is σ = 14865580800. Its totient is φ = 8191134720.

The previous prime is 11201099993. The next prime is 11201100007. The reversal of 11201100001 is 10000110211.

11201100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11201100001 - 23 = 11201099993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (11201100007) 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 31 ways as a sum of consecutive naturals, for example, 8116 + ... + 149893.

It is an arithmetic number, because the mean of its divisors is an integer number (464549400).

Almost surely, 211201100001 is an apocalyptic number.

It is an amenable number.

11201100001 is a deficient number, since it is larger than the sum of its proper divisors (3664480799).

11201100001 is a wasteful number, since it uses less digits than its factorization.

11201100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158089.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11201100001 its reverse (10000110211), we get a palindrome (21201210212).

The spelling of 11201100001 in words is "eleven billion, two hundred one million, one hundred thousand, one".

Divisors: 1 7 13 19 41 91 133 247 287 533 779 1729 3731 5453 10127 70889 158009 1106063 2054117 3002171 6478369 14378819 21015197 39028223 45348583 84218797 123089011 273197561 589531579 861623077 1600157143 11201100001