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1035103057 is a prime number
BaseRepresentation
bin111101101100100…
…110101101010001
32200010201200110021
4331230212231101
54104441244212
6250413503441
734436142112
oct7554465521
92603650407
101035103057
1149131a27a
1224a7a1b81
131365aab21
149b688209
1560d17307
hex3db26b51

1035103057 has 2 divisors, whose sum is σ = 1035103058. Its totient is φ = 1035103056.

The previous prime is 1035103049. The next prime is 1035103081. The reversal of 1035103057 is 7503015301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 952092736 + 83010321 = 30856^2 + 9111^2 .

It is a cyclic number.

It is not a de Polignac number, because 1035103057 - 23 = 1035103049 is a prime.

It is a super-2 number, since 2×10351030572 = 2142876677221490498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1035103457) 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, 517551528 + 517551529.

It is an arithmetic number, because the mean of its divisors is an integer number (517551529).

Almost surely, 21035103057 is an apocalyptic number.

It is an amenable number.

1035103057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035103057 is an equidigital number, since it uses as much as digits as its factorization.

1035103057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 1035103057 is about 32173.0175302224. The cubic root of 1035103057 is about 1011.5667142880.

Adding to 1035103057 its reverse (7503015301), we get a palindrome (8538118358).

The spelling of 1035103057 in words is "one billion, thirty-five million, one hundred three thousand, fifty-seven".