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1313202213 = 34172334093
BaseRepresentation
bin100111001000101…
…1110000000100101
310101112000120210000
41032101132000211
510142134432323
6334150251513
744354014611
oct11621360045
93345016700
101313202213
116142a5294
12307956b99
1317c0ab23b
14c659a341
157a44be43
hex4e45e025

1313202213 has 40 divisors (see below), whose sum is σ = 2086515288. Its totient is φ = 820233216.

The previous prime is 1313202203. The next prime is 1313202217. The reversal of 1313202213 is 3122023131.

1313202213 is a `hidden beast` number, since 131 + 320 + 2 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144793089 + 1168409124 = 12033^2 + 34182^2 .

It is not a de Polignac number, because 1313202213 - 210 = 1313201189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313202217) 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 39 ways as a sum of consecutive naturals, for example, 318795 + ... + 322887.

Almost surely, 21313202213 is an apocalyptic number.

It is an amenable number.

1313202213 is a deficient number, since it is larger than the sum of its proper divisors (773313075).

1313202213 is a wasteful number, since it uses less digits than its factorization.

1313202213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1313202213 is about 36238.1320296728. The cubic root of 1313202213 is about 1095.0750108119.

Adding to 1313202213 its reverse (3122023131), we get a palindrome (4435225344).

The spelling of 1313202213 in words is "one billion, three hundred thirteen million, two hundred two thousand, two hundred thirteen".

Divisors: 1 3 9 17 27 51 81 153 233 459 699 1377 2097 3961 4093 6291 11883 12279 18873 35649 36837 69581 106947 110511 208743 320841 331533 626229 953669 1878687 2861007 5636061 8583021 16212373 25749063 48637119 77247189 145911357 437734071 1313202213