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11131001311 = 1731112011753
BaseRepresentation
bin10100101110111010…
…11001100111011111
31001201201221110020211
422113131121213133
5140244014020221
65040303553251
7542556643603
oct122735314737
931651843224
1011131001311
1147a2184041
1221a78bb827
131085103b11
14778451503
154523196e1
hex2977599df

11131001311 has 16 divisors (see below), whose sum is σ = 11840257728. Its totient is φ = 10427904000.

The previous prime is 11131001309. The next prime is 11131001351. The reversal of 11131001311 is 11310013111.

It is a cyclic number.

It is not a de Polignac number, because 11131001311 - 21 = 11131001309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11131001291 and 11131001300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131001351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6348811 + ... + 6350563.

It is an arithmetic number, because the mean of its divisors is an integer number (740016108).

Almost surely, 211131001311 is an apocalyptic number.

11131001311 is a deficient number, since it is larger than the sum of its proper divisors (709256417).

11131001311 is a wasteful number, since it uses less digits than its factorization.

11131001311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 11131001311 its reverse (11310013111), we get a palindrome (22441014422).

The spelling of 11131001311 in words is "eleven billion, one hundred thirty-one million, one thousand, three hundred eleven".

Divisors: 1 17 311 1201 1753 5287 20417 29801 373511 545183 2105353 6349687 9268111 35791001 654764783 11131001311