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1023063029 is a prime number
BaseRepresentation
bin111100111110101…
…011001111110101
32122022001222122022
4330332223033311
54043401004104
6245303442525
734231615022
oct7476531765
92568058568
101023063029
1148554643a
12246756445
13133c53851
1499c32549
155ec39bbe
hex3cfab3f5

1023063029 has 2 divisors, whose sum is σ = 1023063030. Its totient is φ = 1023063028.

The previous prime is 1023063017. The next prime is 1023063047. The reversal of 1023063029 is 9203603201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 944332900 + 78730129 = 30730^2 + 8873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023063029 is a prime.

It is a super-2 number, since 2×10230630292 = 2093315922613309682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023062989 and 1023063007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023063079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511531514 + 511531515.

It is an arithmetic number, because the mean of its divisors is an integer number (511531515).

Almost surely, 21023063029 is an apocalyptic number.

It is an amenable number.

1023063029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023063029 is an equidigital number, since it uses as much as digits as its factorization.

1023063029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 1023063029 is about 31985.3564776133. The cubic root of 1023063029 is about 1007.6293217574.

The spelling of 1023063029 in words is "one billion, twenty-three million, sixty-three thousand, twenty-nine".