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1000012121 is a prime number
BaseRepresentation
bin111011100110101…
…111100101011001
32120200200212201222
4323212233211121
54022000341441
6243121421425
733531651143
oct7346574531
92520625658
101000012121
114735319a9
1223aa9a875
1312c242864
1496b51c93
155cbd4d4b
hex3b9af959

1000012121 has 2 divisors, whose sum is σ = 1000012122. Its totient is φ = 1000012120.

The previous prime is 1000012037. The next prime is 1000012157. The reversal of 1000012121 is 1212100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 949317721 + 50694400 = 30811^2 + 7120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000012121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000012099 and 1000012108.

It is not a weakly prime, because it can be changed into another prime (1000014121) 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, 500006060 + 500006061.

It is an arithmetic number, because the mean of its divisors is an integer number (500006061).

Almost surely, 21000012121 is an apocalyptic number.

It is an amenable number.

1000012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000012121 is an equidigital number, since it uses as much as digits as its factorization.

1000012121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1000012121 is about 31622.9682509406. The cubic root of 1000012121 is about 1000.0040403170.

Adding to 1000012121 its reverse (1212100001), we get a palindrome (2212112122).

The spelling of 1000012121 in words is "one billion, twelve thousand, one hundred twenty-one".