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1138938313 is a prime number
BaseRepresentation
bin100001111100010…
…1101000111001001
32221101010001122111
41003320231013021
54313032011223
6305003222321
740136546602
oct10370550711
92841101574
101138938313
115349a0237
122795179a1
13151c651c6
14ab396da9
1569ec830d
hex43e2d1c9

1138938313 has 2 divisors, whose sum is σ = 1138938314. Its totient is φ = 1138938312.

The previous prime is 1138938287. The next prime is 1138938319. The reversal of 1138938313 is 3138398311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 757790784 + 381147529 = 27528^2 + 19523^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1138938313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1138938319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 569469156 + 569469157.

It is an arithmetic number, because the mean of its divisors is an integer number (569469157).

Almost surely, 21138938313 is an apocalyptic number.

It is an amenable number.

1138938313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1138938313 is an equidigital number, since it uses as much as digits as its factorization.

1138938313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 40.

The square root of 1138938313 is about 33748.1601424433. The cubic root of 1138938313 is about 1044.3195322745.

The spelling of 1138938313 in words is "one billion, one hundred thirty-eight million, nine hundred thirty-eight thousand, three hundred thirteen".