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1021414013 is a prime number
BaseRepresentation
bin111100111000011…
…000101001111101
32122011222012121122
4330320120221331
54042440222023
6245204240325
734211606264
oct7470305175
92564865548
101021414013
1148461a514
122460a00a5
131337c70b9
14999235db
155ea112c8
hex3ce18a7d

1021414013 has 2 divisors, whose sum is σ = 1021414014. Its totient is φ = 1021414012.

The previous prime is 1021414001. The next prime is 1021414063. The reversal of 1021414013 is 3104141201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 686597209 + 334816804 = 26203^2 + 18298^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021414013 - 24 = 1021413997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1021413982 and 1021414000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021414063) 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, 510707006 + 510707007.

It is an arithmetic number, because the mean of its divisors is an integer number (510707007).

Almost surely, 21021414013 is an apocalyptic number.

It is an amenable number.

1021414013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021414013 is an equidigital number, since it uses as much as digits as its factorization.

1021414013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1021414013 is about 31959.5684107280. The cubic root of 1021414013 is about 1007.0876508564.

Adding to 1021414013 its reverse (3104141201), we get a palindrome (4125555214).

The spelling of 1021414013 in words is "one billion, twenty-one million, four hundred fourteen thousand, thirteen".