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1083320257 = 17210613533
BaseRepresentation
bin100000010010010…
…0010011111000001
32210111110101000111
41000210202133001
54204312222012
6255255151321
735563033045
oct10044423701
92714411014
101083320257
115065625a8
12262975541
13143590906
14a3c3a025
156518dba7
hex409227c1

1083320257 has 12 divisors (see below), whose sum is σ = 1152204156. Its totient is φ = 1018346240.

The previous prime is 1083320213. The next prime is 1083320311. The reversal of 1083320257 is 7520233801.

It can be written as a sum of positive squares in 6 ways, for example, as 294328336 + 788991921 = 17156^2 + 28089^2 .

It is a de Polignac number, because none of the positive numbers 2k-1083320257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1083320057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304863 + ... + 308395.

It is an arithmetic number, because the mean of its divisors is an integer number (96017013).

Almost surely, 21083320257 is an apocalyptic number.

1083320257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1083320257 is a deficient number, since it is larger than the sum of its proper divisors (68883899).

1083320257 is a wasteful number, since it uses less digits than its factorization.

1083320257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 1083320257 is about 32913.8307858566. The cubic root of 1083320257 is about 1027.0358923258.

The spelling of 1083320257 in words is "one billion, eighty-three million, three hundred twenty thousand, two hundred fifty-seven".

Divisors: 1 17 289 1061 3533 18037 60061 306629 1021037 3748513 63724721 1083320257