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200202320312316 = 223371913937783369
BaseRepresentation
bin101101100001010100111100…
…001011110111011111111100
3222020212011011220222211012000
4231201110330023313133330
5202220103322444443231
61545443402023542300
760112066062512460
oct5541247413673774
9866764156884160
10200202320312316
1158877366609533
121a554673bba990
138792cc821580a
143761bb5d404a0
151822ac60986e6
hexb6153c2f77fc

200202320312316 has 96 divisors (see below), whose sum is σ = 624412694976000. Its totient is φ = 54190101734784.

The previous prime is 200202320312227. The next prime is 200202320312317. The reversal of 200202320312316 is 613213023202002.

200202320312316 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 2 + 32 + 0 + 312 + 316 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 200202320312316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200202320312317) 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 31 ways as a sum of consecutive naturals, for example, 6968877321 + ... + 6968906048.

It is an arithmetic number, because the mean of its divisors is an integer number (6504298906000).

Almost surely, 2200202320312316 is an apocalyptic number.

It is an amenable number.

200202320312316 is an abundant number, since it is smaller than the sum of its proper divisors (424210374663684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200202320312316 is a wasteful number, since it uses less digits than its factorization.

200202320312316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13937783408 (or 13937783400 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 200202320312316 its reverse (613213023202002), we get a palindrome (813415343514318).

The spelling of 200202320312316 in words is "two hundred trillion, two hundred two billion, three hundred twenty million, three hundred twelve thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 14364 13937783369 27875566738 41813350107 55751133476 83626700214 97564483583 125440050321 167253400428 195128967166 250880100642 264817884011 292693450749 376320150963 390257934332 501760201284 529635768022 585386901498 752640301926 794453652033 878080352247 1059271536044 1170773802996 1505280603852 1588907304066 1756160704494 1853725188077 2383360956099 2634241056741 3177814608132 3512321408988 3707450376154 4766721912198 5268482113482 5561175564231 7150082868297 7414900752308 9533443824396 10536964226964 11122351128462 14300165736594 16683526692693 22244702256924 28600331473188 33367053385386 50050580078079 66734106770772 100101160156158 200202320312316