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1223223101 is a prime number
BaseRepresentation
bin100100011101000…
…1110011100111101
310011020201011122022
41020322032130331
510001121114401
6321213525525
742212140052
oct11072163475
93136634568
101223223101
11578528691
122a17a38a5
13166565969
14b8657029
15725c671b
hex48e8e73d

1223223101 has 2 divisors, whose sum is σ = 1223223102. Its totient is φ = 1223223100.

The previous prime is 1223223073. The next prime is 1223223121. The reversal of 1223223101 is 1013223221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 989102500 + 234120601 = 31450^2 + 15301^2 .

It is an emirp because it is prime and its reverse (1013223221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1223223101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1223223101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1223223121) 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 as a sum of consecutive naturals, namely, 611611550 + 611611551.

It is an arithmetic number, because the mean of its divisors is an integer number (611611551).

Almost surely, 21223223101 is an apocalyptic number.

It is an amenable number.

1223223101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223223101 is an equidigital number, since it uses as much as digits as its factorization.

1223223101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1223223101 is about 34974.6065167287. The cubic root of 1223223101 is about 1069.4698806457.

Adding to 1223223101 its reverse (1013223221), we get a palindrome (2236446322).

It can be divided in two parts, 122 and 3223101, that added together give a palindrome (3223223).

The spelling of 1223223101 in words is "one billion, two hundred twenty-three million, two hundred twenty-three thousand, one hundred one".