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1013031329 is a prime number
BaseRepresentation
bin111100011000011…
…010000110100001
32121121012022201212
4330120122012201
54033314000304
6244304435505
734050424052
oct7430320641
92547168655
101013031329
1147a914482
12243318b95
13131b5072b
1498780729
155de0766e
hex3c61a1a1

1013031329 has 2 divisors, whose sum is σ = 1013031330. Its totient is φ = 1013031328.

The previous prime is 1013031319. The next prime is 1013031359. The reversal of 1013031329 is 9231303101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1012830625 + 200704 = 31825^2 + 448^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1013031329 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013031319) 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, 506515664 + 506515665.

It is an arithmetic number, because the mean of its divisors is an integer number (506515665).

Almost surely, 21013031329 is an apocalyptic number.

It is an amenable number.

1013031329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013031329 is an equidigital number, since it uses as much as digits as its factorization.

1013031329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 1013031329 is about 31828.1530881074. The cubic root of 1013031329 is about 1004.3250433651.

The spelling of 1013031329 in words is "one billion, thirteen million, thirty-one thousand, three hundred twenty-nine".