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420303105 = 3259340069
BaseRepresentation
bin11001000011010…
…101000100000001
31002021212121110200
4121003111010001
51330044144410
6105412315413
713262342325
oct3103250401
91067777420
10420303105
111a6282a42
12b8912b69
13690cc981
143db6b985
1526d743c0
hex190d5101

420303105 has 12 divisors (see below), whose sum is σ = 728525460. Its totient is φ = 224161632.

The previous prime is 420303101. The next prime is 420303109. The reversal of 420303105 is 501303024.

It is an interprime number because it is at equal distance from previous prime (420303101) and next prime (420303109).

It can be written as a sum of positive squares in 2 ways, for example, as 133610481 + 286692624 = 11559^2 + 16932^2 .

It is not a de Polignac number, because 420303105 - 22 = 420303101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420303101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4669990 + ... + 4670079.

It is an arithmetic number, because the mean of its divisors is an integer number (60710455).

Almost surely, 2420303105 is an apocalyptic number.

420303105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420303105 is a deficient number, since it is larger than the sum of its proper divisors (308222355).

420303105 is a wasteful number, since it uses less digits than its factorization.

420303105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9340080 (or 9340077 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 420303105 is about 20501.2952029866. The cubic root of 420303105 is about 749.0673473595.

Adding to 420303105 its reverse (501303024), we get a palindrome (921606129).

The spelling of 420303105 in words is "four hundred twenty million, three hundred three thousand, one hundred five".

Divisors: 1 3 5 9 15 45 9340069 28020207 46700345 84060621 140101035 420303105