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201210434012313 = 321143677543712841
BaseRepresentation
bin101101101111111111110100…
…011100011100010010011001
3222101102112022002202220122100
4231233333310130130102121
5202333112432101343223
61551534444115114013
760244655061543525
oct5557776434342231
9871375262686570
10201210434012313
1159125958500310
121a697b1b2a2909
1388370a745396b
1437988cbbaad85
15183de29cb9043
hexb6fff471c499

201210434012313 has 96 divisors (see below), whose sum is σ = 324996614946432. Its totient is φ = 118902697804800.

The previous prime is 201210434012267. The next prime is 201210434012321. The reversal of 201210434012313 is 313210434012102.

201210434012313 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 0 + 4 + 340 + 1 + 2 + 313 = 666.

It is not a de Polignac number, because 201210434012313 - 212 = 201210434008217 is a prime.

It is a super-3 number, since 3×2012104340123133 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201210434012323) 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 95 ways as a sum of consecutive naturals, for example, 15669367773 + ... + 15669380613.

It is an arithmetic number, because the mean of its divisors is an integer number (3385381405692).

Almost surely, 2201210434012313 is an apocalyptic number.

It is an amenable number.

201210434012313 is a deficient number, since it is larger than the sum of its proper divisors (123786180934119).

201210434012313 is a wasteful number, since it uses less digits than its factorization.

201210434012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19015 (or 19012 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 201210434012313 its reverse (313210434012102), we get a palindrome (514420868024415).

The spelling of 201210434012313 in words is "two hundred one trillion, two hundred ten billion, four hundred thirty-four million, twelve thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 43 99 129 387 473 677 1419 2031 4257 5437 6093 7447 12841 16311 22341 29111 38523 48933 59807 67023 87333 115569 141251 179421 233791 261999 320221 423753 538263 552163 701373 960663 1271259 1656489 2104119 2571701 2881989 3680849 4969467 6073793 7715103 8693357 11042547 18221379 23145309 26080071 33127641 40489339 54664137 69816517 78240213 95626927 121468017 158276507 209449551 286880781 364404051 373814351 474829521 628348653 767981687 860642343 1121443053 1424488563 1741041577 2303945061 3002110231 3364329159 4111957861 5223124731 6911835183 9006330693 12335873583 15669374193 27018992079 33023212541 37007620749 47265782009 99069637623 141797346027 297208912869 425392038081 519923602099 1559770806297 2032428626387 4679312418891 6097285879161 18291857637483 22356714890257 67070144670771 201210434012313