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206034213626241 = 371113175968404249
BaseRepresentation
bin101110110110001100010100…
…000111010110000110000001
31000000111200022121010220101220
4232312030110013112012001
5204001131032142014431
62010110451105145253
761253323612000320
oct5666142407260601
91000450277126356
10206034213626241
115a71568a322570
121b13698932b229
138ac6c34950a20
1438c41757000b7
1518c4651a22b96
hexbb63141d6181

206034213626241 has 128 divisors (see below), whose sum is σ = 397160547840000. Its totient is φ = 91409964687360.

The previous prime is 206034213626239. The next prime is 206034213626261. The reversal of 206034213626241 is 142626312430602.

It is a happy number.

It is not a de Polignac number, because 206034213626241 - 21 = 206034213626239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 206034213626193 and 206034213626202.

It is not an unprimeable number, because it can be changed into a prime (206034213626201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31190116 + ... + 37214133.

It is an arithmetic number, because the mean of its divisors is an integer number (3102816780000).

Almost surely, 2206034213626241 is an apocalyptic number.

206034213626241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

206034213626241 is a deficient number, since it is larger than the sum of its proper divisors (191126334213759).

206034213626241 is a wasteful number, since it uses less digits than its factorization.

206034213626241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68404359.

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 206034213626241 in words is "two hundred six trillion, thirty-four billion, two hundred thirteen million, six hundred twenty-six thousand, two hundred forty-one".

Divisors: 1 3 7 11 13 17 21 33 39 51 59 77 91 119 143 177 187 221 231 273 357 413 429 561 649 663 767 1001 1003 1239 1309 1547 1947 2301 2431 3003 3009 3927 4543 4641 5369 7021 7293 8437 11033 13039 13629 16107 17017 21063 25311 33099 39117 51051 59059 77231 91273 143429 177177 231693 273819 430287 1004003 3012009 68404249 205212747 478829743 752446739 889255237 1162872233 1436489229 2257340217 2667765711 3488616699 4035850691 5267127173 6224786659 8140105631 9781807607 12107552073 12791594563 15117339029 15801381519 18674359977 24420316893 28250954837 29345422821 38374783689 44394357601 45352017087 52466058983 68472653249 68609461747 84752864511 89541161941 105821373203 133183072803 157398176949 166290729319 205417959747 205828385241 268623485823 310760503207 317464119609 367262412881 480266232229 498872187957 577126648813 754704079217 891923002711 932281509621 1101787238643 1164035105233 1440798696687 1731379946439 2264112237651 2675769008133 3492105315699 4039886541691 5282928554519 6243461018977 9811153029821 12119659625073 15848785663557 18730383056931 29433459089463 68678071208747 206034213626241