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1320166217 = 29319715139
BaseRepresentation
bin100111010110000…
…0010001101001001
310102000010101121002
41032230002031021
510200430304332
6334555424345
744500141046
oct11654021511
93360111532
101320166217
11618221467
1230a1550b5
13180678c56
14c74901cd
157ad75562
hex4eb02349

1320166217 has 16 divisors (see below), whose sum is σ = 1424371200. Its totient is φ = 1220728320.

The previous prime is 1320166207. The next prime is 1320166219. The reversal of 1320166217 is 7126610231.

It is not a de Polignac number, because 1320166217 - 24 = 1320166201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1320166217.

It is not an unprimeable number, because it can be changed into a prime (1320166219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79634 + ... + 94772.

It is an arithmetic number, because the mean of its divisors is an integer number (89023200).

Almost surely, 21320166217 is an apocalyptic number.

It is an amenable number.

1320166217 is a deficient number, since it is larger than the sum of its proper divisors (104204983).

1320166217 is a wasteful number, since it uses less digits than its factorization.

1320166217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15296.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 1320166217 is about 36334.0916633401. The cubic root of 1320166217 is about 1097.0073523970.

Adding to 1320166217 its reverse (7126610231), we get a palindrome (8446776448).

The spelling of 1320166217 in words is "one billion, three hundred twenty million, one hundred sixty-six thousand, two hundred seventeen".

Divisors: 1 29 31 97 899 2813 3007 15139 87203 439031 469309 1468483 13609961 42586007 45522973 1320166217