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11131001121 = 319923380021
BaseRepresentation
bin10100101110111010…
…11001100100100001
31001201201221102222210
422113131121210201
5140244014013441
65040303552333
7542556643212
oct122735314441
931651842883
1011131001121
1147a2183989
1221a78bb6a9
1310851039c6
14778451409
15452319616
hex297759921

11131001121 has 16 divisors (see below), whose sum is σ = 14980118400. Its totient is φ = 7351597440.

The previous prime is 11131001053. The next prime is 11131001159. The reversal of 11131001121 is 12110013111.

11131001121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11131001121 - 29 = 11131000609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11131001097 and 11131001106.

It is not an unprimeable number, because it can be changed into a prime (11131001221) 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 15 ways as a sum of consecutive naturals, for example, 99091 + ... + 179111.

It is an arithmetic number, because the mean of its divisors is an integer number (936257400).

Almost surely, 211131001121 is an apocalyptic number.

It is an amenable number.

11131001121 is a deficient number, since it is larger than the sum of its proper divisors (3849117279).

11131001121 is a wasteful number, since it uses less digits than its factorization.

11131001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80456.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11131001121 its reverse (12110013111), we get a palindrome (23241014232).

The spelling of 11131001121 in words is "eleven billion, one hundred thirty-one million, one thousand, one hundred twenty-one".

Divisors: 1 3 199 233 597 699 46367 80021 139101 240063 15924179 18644893 47772537 55934679 3710333707 11131001121