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1020012013 is a prime number
BaseRepresentation
bin111100110011000…
…010010111101101
32122002022222102201
4330303002113231
54042110341023
6245114221501
734163646646
oct7463022755
92562288381
101020012013
11483852139
12245724891
13133425c07
149967a6cd
155e835bad
hex3ccc25ed

1020012013 has 2 divisors, whose sum is σ = 1020012014. Its totient is φ = 1020012012.

The previous prime is 1020011999. The next prime is 1020012107. The reversal of 1020012013 is 3102100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 974813284 + 45198729 = 31222^2 + 6723^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020012013 - 29 = 1020011501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020012113) 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, 510006006 + 510006007.

It is an arithmetic number, because the mean of its divisors is an integer number (510006007).

Almost surely, 21020012013 is an apocalyptic number.

It is an amenable number.

1020012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020012013 is an equidigital number, since it uses as much as digits as its factorization.

1020012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1020012013 is about 31937.6269155991. The cubic root of 1020012013 is about 1006.6266613611.

Adding to 1020012013 its reverse (3102100201), we get a palindrome (4122112214).

The spelling of 1020012013 in words is "one billion, twenty million, twelve thousand, thirteen".