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1385202913 is a prime number
BaseRepresentation
bin101001010010000…
…1000010011100001
310120112111121011121
41102210020103201
510314102443123
6345241412241
746220013313
oct12244102341
93515447147
101385202913
11650a024a6
12327a9a081
13190c9a5c3
14d1d7d7b3
158192075d
hex529084e1

1385202913 has 2 divisors, whose sum is σ = 1385202914. Its totient is φ = 1385202912.

The previous prime is 1385202911. The next prime is 1385202947. The reversal of 1385202913 is 3192025831.

It is an a-pointer prime, because the next prime (1385202947) can be obtained adding 1385202913 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 822943969 + 562258944 = 28687^2 + 23712^2 .

It is an emirp because it is prime and its reverse (3192025831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1385202913 - 21 = 1385202911 is a prime.

It is a super-2 number, since 2×13852029132 = 3837574220367371138, which contains 22 as substring.

Together with 1385202911, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1385202911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 692601456 + 692601457.

It is an arithmetic number, because the mean of its divisors is an integer number (692601457).

Almost surely, 21385202913 is an apocalyptic number.

It is an amenable number.

1385202913 is a deficient number, since it is larger than the sum of its proper divisors (1).

1385202913 is an equidigital number, since it uses as much as digits as its factorization.

1385202913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 1385202913 is about 37218.3142149131. The cubic root of 1385202913 is about 1114.7337035565.

The spelling of 1385202913 in words is "one billion, three hundred eighty-five million, two hundred two thousand, nine hundred thirteen".