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11022144221 = 112731247837
BaseRepresentation
bin10100100001111100…
…01001001011011101
31001110011002221101202
422100332021023131
5140033132103341
65021414445245
7540065452154
oct122076111335
931404087352
1011022144221
114746793100
122177363825
1310686aba3a
14767bd659b
154479b579b
hex290f892dd

11022144221 has 12 divisors (see below), whose sum is σ = 12281221596. Its totient is φ = 9882861120.

The previous prime is 11022144181. The next prime is 11022144233. The reversal of 11022144221 is 12244122011.

11022144221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8680648900 + 2341495321 = 93170^2 + 48389^2 .

It is a de Polignac number, because none of the positive numbers 2k-11022144221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11022144193 and 11022144202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022144281) 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 11 ways as a sum of consecutive naturals, for example, 615086 + ... + 632751.

It is an arithmetic number, because the mean of its divisors is an integer number (1023435133).

Almost surely, 211022144221 is an apocalyptic number.

11022144221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11022144221 is a deficient number, since it is larger than the sum of its proper divisors (1259077375).

11022144221 is a wasteful number, since it uses less digits than its factorization.

11022144221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247932 (or 1247921 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11022144221 its reverse (12244122011), we get a palindrome (23266266232).

The spelling of 11022144221 in words is "eleven billion, twenty-two million, one hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 11 73 121 803 8833 1247837 13726207 91092101 150988277 1002013111 11022144221