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213301230303213 = 321328319249334667
BaseRepresentation
bin110000011111111100010000…
…000011111111011111101101
31000222020101202111002111022200
4300133330100003333133231
5210424211404424200323
62033353122112532113
762633335221400443
oct6037742003773755
91028211674074280
10213301230303213
1161a675a8833358
121bb0b25a551039
1392032b191a360
143a95b98328b93
15199d6c3e09443
hexc1ff100ff7ed

213301230303213 has 48 divisors (see below), whose sum is σ = 332992651992000. Its totient is φ = 130791285315072.

The previous prime is 213301230303193. The next prime is 213301230303281. The reversal of 213301230303213 is 312303032103312.

213301230303213 is a `hidden beast` number, since 2 + 1 + 3 + 30 + 1 + 2 + 303 + 0 + 321 + 3 = 666.

It is not a de Polignac number, because 213301230303213 - 225 = 213301196748781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213301230303013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637186306 + ... + 637520972.

It is an arithmetic number, because the mean of its divisors is an integer number (6937346916500).

Almost surely, 2213301230303213 is an apocalyptic number.

It is an amenable number.

213301230303213 is a deficient number, since it is larger than the sum of its proper divisors (119691421688787).

213301230303213 is a wasteful number, since it uses less digits than its factorization.

213301230303213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354218 (or 354215 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 213301230303213 its reverse (312303032103312), we get a palindrome (525604262406525).

The spelling of 213301230303213 in words is "two hundred thirteen trillion, three hundred one billion, two hundred thirty million, three hundred three thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 283 849 2547 3679 11037 19249 33111 57747 173241 250237 334667 750711 1004001 2252133 3012003 4350671 5447467 13052013 16342401 39156039 49027203 70817071 94710761 212451213 284132283 637353639 852396849 1231239893 3693719679 6442005083 11081159037 19326015249 57978045747 83746066079 251238198237 753714594711 1823087438489 5469262315467 16407786946401 23700136700357 71100410101071 213301230303213