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220212121133 is a prime number
BaseRepresentation
bin1100110100010110101…
…0100100111000101101
3210001101221221211020102
43031011222210320231
512101443300334013
6245055234000445
721624030100604
oct3150552447055
9701357854212
10220212121133
1185434001a44
1236818716125
13179c5936274
14a930622a3b
155adcb40d58
hex3345aa4e2d

220212121133 has 2 divisors, whose sum is σ = 220212121134. Its totient is φ = 220212121132.

The previous prime is 220212121121. The next prime is 220212121211. The reversal of 220212121133 is 331121212022.

220212121133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 140844835849 + 79367285284 = 375293^2 + 281722^2 .

It is a cyclic number.

It is not a de Polignac number, because 220212121133 - 26 = 220212121069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220212121033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110106060566 + 110106060567.

It is an arithmetic number, because the mean of its divisors is an integer number (110106060567).

Almost surely, 2220212121133 is an apocalyptic number.

It is an amenable number.

220212121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

220212121133 is an equidigital number, since it uses as much as digits as its factorization.

220212121133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 220212121133 its reverse (331121212022), we get a palindrome (551333333155).

The spelling of 220212121133 in words is "two hundred twenty billion, two hundred twelve million, one hundred twenty-one thousand, one hundred thirty-three".