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11681398311 = 3113371050391
BaseRepresentation
bin10101110000100001…
…11111111000100111
31010011002121111222220
422320100333320213
5142410414221221
65211044523423
7562322150562
oct127020777047
933132544886
1011681398311
114a549324a0
1223200b0573
131142152c0b
147cb5a54d9
154857da0c6
hex2b843fe27

11681398311 has 16 divisors (see below), whose sum is σ = 17041559808. Its totient is φ = 7058620800.

The previous prime is 11681398291. The next prime is 11681398319. The reversal of 11681398311 is 11389318611.

It is not a de Polignac number, because 11681398311 - 226 = 11614289447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11681398319) 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 15 ways as a sum of consecutive naturals, for example, 514075 + ... + 536316.

It is an arithmetic number, because the mean of its divisors is an integer number (1065097488).

Almost surely, 211681398311 is an apocalyptic number.

11681398311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11681398311 is a deficient number, since it is larger than the sum of its proper divisors (5360161497).

11681398311 is a wasteful number, since it uses less digits than its factorization.

11681398311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050742.

The product of its digits is 31104, while the sum is 42.

The spelling of 11681398311 in words is "eleven billion, six hundred eighty-one million, three hundred ninety-eight thousand, three hundred eleven".

Divisors: 1 3 11 33 337 1011 3707 11121 1050391 3151173 11554301 34662903 353981767 1061945301 3893799437 11681398311