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11201341311 = 331572642449
BaseRepresentation
bin10100110111010011…
…01110011101111111
31001220122022002121000
422123221232131333
5140420020410221
65051255341343
7544402554516
oct123351563577
931818262530
1011201341311
114828957576
122207381853
131096861314
1478392167d
154585b0e26
hex29ba6e77f

11201341311 has 16 divisors (see below), whose sum is σ = 16700284000. Its totient is φ = 7419993984.

The previous prime is 11201341309. The next prime is 11201341351. The reversal of 11201341311 is 11314310211.

It is a happy number.

11201341311 is a `hidden beast` number, since 1 + 12 + 0 + 1 + 341 + 311 = 666.

It is not a de Polignac number, because 11201341311 - 21 = 11201341309 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 (11201341351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1316986 + ... + 1325463.

It is an arithmetic number, because the mean of its divisors is an integer number (1043767750).

Almost surely, 211201341311 is an apocalyptic number.

11201341311 is a deficient number, since it is larger than the sum of its proper divisors (5498942689).

11201341311 is a wasteful number, since it uses less digits than its factorization.

11201341311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642615 (or 2642609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11201341311 its reverse (11314310211), we get a palindrome (22515651522).

It can be divided in two parts, 1120 and 1341311, that added together give a palindrome (1342431).

The spelling of 11201341311 in words is "eleven billion, two hundred one million, three hundred forty-one thousand, three hundred eleven".

Divisors: 1 3 9 27 157 471 1413 4239 2642449 7927347 23782041 71346123 414864493 1244593479 3733780437 11201341311