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1303016381 is a prime number
BaseRepresentation
bin100110110101010…
…0111001110111101
310100210212002102222
41031222213032331
510132033011011
6333144055125
744201312402
oct11552471675
93323762388
101303016381
11609578547
123044644a5
13179c52c14
14c50a82a9
15795d8ddb
hex4daa73bd

1303016381 has 2 divisors, whose sum is σ = 1303016382. Its totient is φ = 1303016380.

The previous prime is 1303016339. The next prime is 1303016417. The reversal of 1303016381 is 1836103031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1109556100 + 193460281 = 33310^2 + 13909^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1303016381 is a prime.

It is a super-2 number, since 2×13030163812 = 3395703378308674322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1303016381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1303016581) 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, 651508190 + 651508191.

It is an arithmetic number, because the mean of its divisors is an integer number (651508191).

Almost surely, 21303016381 is an apocalyptic number.

It is an amenable number.

1303016381 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303016381 is an equidigital number, since it uses as much as digits as its factorization.

1303016381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 1303016381 is about 36097.3181967858. The cubic root of 1303016381 is about 1092.2363481519.

The spelling of 1303016381 in words is "one billion, three hundred three million, sixteen thousand, three hundred eighty-one".