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1071030329 is a prime number
BaseRepresentation
bin111111110101101…
…010000000111001
32202122022222101222
4333311222000321
54143140432304
6254135521425
735353415255
oct7765520071
92678288358
101071030329
114aa628a36
1225a829275
13140b79975
14a235b265
15640624be
hex3fd6a039

1071030329 has 2 divisors, whose sum is σ = 1071030330. Its totient is φ = 1071030328.

The previous prime is 1071030251. The next prime is 1071030353. The reversal of 1071030329 is 9230301701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 677404729 + 393625600 = 26027^2 + 19840^2 .

It is an emirp because it is prime and its reverse (9230301701) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1071030329 is a prime.

It is a super-2 number, since 2×10710303292 = 2294211931275696482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1071030298 and 1071030307.

It is not a weakly prime, because it can be changed into another prime (1071030229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 535515164 + 535515165.

It is an arithmetic number, because the mean of its divisors is an integer number (535515165).

Almost surely, 21071030329 is an apocalyptic number.

It is an amenable number.

1071030329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1071030329 is an equidigital number, since it uses as much as digits as its factorization.

1071030329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 1071030329 is about 32726.5997164386. The cubic root of 1071030329 is about 1023.1373123702.

The spelling of 1071030329 in words is "one billion, seventy-one million, thirty thousand, three hundred twenty-nine".