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11200011201 = 326197210317
BaseRepresentation
bin10100110111001001…
…01001101111000001
31001220112210112000200
422123210221233001
5140414200324301
65051211035413
7544355344611
oct123344515701
931815715020
1011200011201
114828129205
122206a3bb69
1310964b6a82
14783696a41
154583ebc86
hex29b929bc1

11200011201 has 24 divisors (see below), whose sum is σ = 16612598184. Its totient is φ = 7268520960.

The previous prime is 11200011197. The next prime is 11200011209. The reversal of 11200011201 is 10211000211.

It is a happy number.

11200011201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 729810225 + 10470200976 = 27015^2 + 102324^2 .

It is not a de Polignac number, because 11200011201 - 22 = 11200011197 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 (11200011209) 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, 51906 + ... + 158411.

It is an arithmetic number, because the mean of its divisors is an integer number (692191591).

Almost surely, 211200011201 is an apocalyptic number.

It is an amenable number.

11200011201 is a deficient number, since it is larger than the sum of its proper divisors (5412586983).

11200011201 is a wasteful number, since it uses less digits than its factorization.

11200011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210481 (or 210478 counting only the distinct ones).

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

Adding to 11200011201 its reverse (10211000211), we get a palindrome (21411011412).

It can be divided in two parts, 112000 and 11201, that added together give a square (123201 = 3512).

The spelling of 11200011201 in words is "eleven billion, two hundred million, eleven thousand, two hundred one".

Divisors: 1 3 9 61 97 183 291 549 873 5917 17751 53253 210317 630951 1892853 12829337 20400749 38488011 61202247 115464033 183606741 1244445689 3733337067 11200011201