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11122132021 = 7111328139541
BaseRepresentation
bin10100101101110111…
…00100010000110101
31001201010020211212121
422112323210100311
5140234231211041
65035345515541
7542421363610
oct122673442065
931633224777
1011122132021
114798176450
1221a4942bb1
131083319b10
147771c3177
154516667d1
hex296ee4435

11122132021 has 32 divisors (see below), whose sum is σ = 14986734336. Its totient is φ = 7971264000.

The previous prime is 11122132009. The next prime is 11122132027. The reversal of 11122132021 is 12023122111.

11122132021 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 11122132021 - 27 = 11122131893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11122131986 and 11122132004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122132027) 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 31 ways as a sum of consecutive naturals, for example, 261511 + ... + 301051.

It is an arithmetic number, because the mean of its divisors is an integer number (468335448).

Almost surely, 211122132021 is an apocalyptic number.

11122132021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11122132021 is a deficient number, since it is larger than the sum of its proper divisors (3864602315).

11122132021 is a wasteful number, since it uses less digits than its factorization.

11122132021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39853.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11122132021 its reverse (12023122111), we get a palindrome (23145254132).

The spelling of 11122132021 in words is "eleven billion, one hundred twenty-two million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 7 11 13 77 91 143 281 1001 1967 3091 3653 21637 25571 39541 40183 276787 281281 434951 514033 3044657 3598231 5654363 11111021 39580541 77777147 122221231 144443273 855548617 1011102911 1588876003 11122132021