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213319201473 = 32741123766763
BaseRepresentation
bin1100011010101011010…
…0001011001011000001
3202101121120201020001200
43012222310023023001
511443334203421343
6241555242451413
721261151203120
oct3065264131301
9671546636050
10213319201473
1182517145424
1235414203b69
1317167882791
14a478dbbab7
1558379294d3
hex31aad0b2c1

213319201473 has 48 divisors (see below), whose sum is σ = 361031938176. Its totient is φ = 118825678080.

The previous prime is 213319201421. The next prime is 213319201483. The reversal of 213319201473 is 374102913312.

It is not a de Polignac number, because 213319201473 - 221 = 213317104321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213319201483) 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 in 47 ways as a sum of consecutive naturals, for example, 3161790 + ... + 3228552.

It is an arithmetic number, because the mean of its divisors is an integer number (7521498712).

Almost surely, 2213319201473 is an apocalyptic number.

It is an amenable number.

213319201473 is a deficient number, since it is larger than the sum of its proper divisors (147712736703).

213319201473 is a wasteful number, since it uses less digits than its factorization.

213319201473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68054 (or 68051 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 213319201473 in words is "two hundred thirteen billion, three hundred nineteen million, two hundred one thousand, four hundred seventy-three".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 1237 2583 3711 8659 11133 25977 50717 66763 77931 152151 200289 355019 456453 467341 600867 1065057 1402023 2737283 3195171 4206069 8211849 19160981 24635547 57482943 82585831 172448829 247757493 578100817 743272479 1734302451 3386019071 5202907353 10158057213 23702133497 30474171639 71106400491 213319201473