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1000223141 is a prime number
BaseRepresentation
bin111011100111100…
…011000110100101
32120201002121012112
4323213203012211
54022024120031
6243130130405
733533520311
oct7347430645
92521077175
101000223141
114736664a5
1223ab80a05
1312c2b7918
1496ba8b41
155cc2762b
hex3b9e31a5

1000223141 has 2 divisors, whose sum is σ = 1000223142. Its totient is φ = 1000223140.

The previous prime is 1000223089. The next prime is 1000223177. The reversal of 1000223141 is 1413220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 918393025 + 81830116 = 30305^2 + 9046^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000223141 - 210 = 1000222117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000223941) 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, 500111570 + 500111571.

It is an arithmetic number, because the mean of its divisors is an integer number (500111571).

Almost surely, 21000223141 is an apocalyptic number.

It is an amenable number.

1000223141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000223141 is an equidigital number, since it uses as much as digits as its factorization.

1000223141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1000223141 is about 31626.3045738828. The cubic root of 1000223141 is about 1000.0743748016.

Adding to 1000223141 its reverse (1413220001), we get a palindrome (2413443142).

The spelling of 1000223141 in words is "one billion, two hundred twenty-three thousand, one hundred forty-one".