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220342242102031 = 717237922723319267
BaseRepresentation
bin110010000110011001101101…
…000100011100101100001111
31001220011111211200222201020201
4302012121231010130230033
5212340041402434231111
62100343454551354331
764261126111243360
oct6206315504345417
91056144750881221
10220342242102031
11642316903a1105
12208679770829a7
1395c4251b0695a
143c5a89b26bb67
151a71919d526c1
hexc8666d11cb0f

220342242102031 has 128 divisors (see below), whose sum is σ = 284217662177280. Its totient is φ = 166408879583232.

The previous prime is 220342242101987. The next prime is 220342242102041. The reversal of 220342242102031 is 130201242243022.

It is a cyclic number.

It is not a de Polignac number, because 220342242102031 - 221 = 220342240004879 is a prime.

It is a super-2 number, since 2×2203422421020312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220342242102041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11436241060 + ... + 11436260326.

It is an arithmetic number, because the mean of its divisors is an integer number (2220450485760).

Almost surely, 2220342242102031 is an apocalyptic number.

220342242102031 is a deficient number, since it is larger than the sum of its proper divisors (63875420075249).

220342242102031 is a wasteful number, since it uses less digits than its factorization.

220342242102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19853.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 220342242102031 its reverse (130201242243022), we get a palindrome (350543484345053).

The spelling of 220342242102031 in words is "two hundred twenty trillion, three hundred forty-two billion, two hundred forty-two million, one hundred two thousand, thirty-one".

Divisors: 1 7 17 23 79 119 161 227 233 391 553 1343 1589 1631 1817 2737 3859 3961 5221 5359 9401 12719 17933 18407 19267 27013 27727 30889 36547 37513 52891 88757 91103 125531 128849 134869 216223 304861 312919 327539 370237 412459 423361 443141 621299 637721 899147 1216493 1522093 2134027 2190433 2292773 2887213 2963527 3101987 4178389 4373609 4489211 6294029 7011803 7197137 7533397 8515451 10654651 20680381 25875581 29248723 30615263 31424477 35008139 49082621 50379959 52733779 71032613 74351353 76316587 96102947 100593007 103251853 144762667 181129067 245056973 345515111 354647669 497228291 520459471 534216109 595138363 672720629 704151049 722762971 1019050897 1633750099 1710081119 1755281501 2418605777 2482533683 4165968541 5873756887 6029010373 7133356279 7946847553 8156896387 11436250693 11970567833 12286970507 17323865249 23438170631 41116298209 42203072611 55627932871 57098274709 80505020863 121267056743 135096408401 138667238579 164067194417 398448900727 563535146041 945674858807 970670670053 1368585354671 1851615479849 2789142305089 9580097482697 12961308358943 31477463157433 220342242102031