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22131101 is a prime number
BaseRepresentation
bin101010001101…
…1000110011101
31112122101011102
41110123012131
521131143401
62110202445
7356053106
oct124330635
945571142
1022131101
1111546473
1274b3425
13477b435
142d213ad
151e2256b
hex151b19d

22131101 has 2 divisors, whose sum is σ = 22131102. Its totient is φ = 22131100.

The previous prime is 22131097. The next prime is 22131113. The reversal of 22131101 is 10113122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18619225 + 3511876 = 4315^2 + 1874^2 .

It is a cyclic number.

It is not a de Polignac number, because 22131101 - 22 = 22131097 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22131001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11065550 + 11065551.

It is an arithmetic number, because the mean of its divisors is an integer number (11065551).

Almost surely, 222131101 is an apocalyptic number.

It is an amenable number.

22131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22131101 is an equidigital number, since it uses as much as digits as its factorization.

22131101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 22131101 is about 4704.3704148377. The cubic root of 22131101 is about 280.7594222594.

Adding to 22131101 its reverse (10113122), we get a palindrome (32244223).

The spelling of 22131101 in words is "twenty-two million, one hundred thirty-one thousand, one hundred one".