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1013613077 is a prime number
BaseRepresentation
bin111100011010101…
…000001000010101
32121122021212202002
4330122220020111
54033441104302
6244325125045
734055366111
oct7432501025
92548255662
101013613077
11480181564
12243559785
13131cc5469
1498892741
155debec02
hex3c6a8215

1013613077 has 2 divisors, whose sum is σ = 1013613078. Its totient is φ = 1013613076.

The previous prime is 1013613047. The next prime is 1013613137. The reversal of 1013613077 is 7703163101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 601279441 + 412333636 = 24521^2 + 20306^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013613077 - 214 = 1013596693 is a prime.

It is a super-2 number, since 2×10136130772 = 2054822939730815858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013613047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506806538 + 506806539.

It is an arithmetic number, because the mean of its divisors is an integer number (506806539).

Almost surely, 21013613077 is an apocalyptic number.

It is an amenable number.

1013613077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013613077 is an equidigital number, since it uses as much as digits as its factorization.

1013613077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 1013613077 is about 31837.2906667637. The cubic root of 1013613077 is about 1004.5172560057.

Adding to 1013613077 its reverse (7703163101), we get a palindrome (8716776178).

The spelling of 1013613077 in words is "one billion, thirteen million, six hundred thirteen thousand, seventy-seven".