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204224420004111 = 3213179409187112743
BaseRepresentation
bin101110011011110110110100…
…000000100100000100001111
3222210002122220222011012000200
4232123312310000210010033
5203232003103010112421
62002203223043024543
761005504340014123
oct5633666400440417
9883078828135020
10204224420004111
115a0880a9a776a1
121aaa408906b153
1389c53846c9650
14386072c371583
15189252c2c5726
hexb9bdb402410f

204224420004111 has 96 divisors (see below), whose sum is σ = 320434565068800. Its totient is φ = 124592491077120.

The previous prime is 204224420004109. The next prime is 204224420004127. The reversal of 204224420004111 is 111400024422402.

204224420004111 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 44 + 200 + 0 + 411 + 1 = 666.

It is not a de Polignac number, because 204224420004111 - 21 = 204224420004109 is a prime.

It is a super-2 number, since 2×2042244200041112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204224420002111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16026394006 + ... + 16026406748.

It is an arithmetic number, because the mean of its divisors is an integer number (3337860052800).

Almost surely, 2204224420004111 is an apocalyptic number.

204224420004111 is a deficient number, since it is larger than the sum of its proper divisors (116210145064689).

204224420004111 is a wasteful number, since it uses less digits than its factorization.

204224420004111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15221 (or 15218 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 204224420004111 its reverse (111400024422402), we get a palindrome (315624444426513).

The spelling of 204224420004111 in words is "two hundred four trillion, two hundred twenty-four billion, four hundred twenty million, four thousand, one hundred eleven".

Divisors: 1 3 9 13 39 117 179 409 537 1227 1611 1871 2327 3681 5317 5613 6981 12743 15951 16839 20943 24323 38229 47853 72969 73211 114687 165659 218907 219633 334909 496977 658899 765239 951743 1004727 1490931 2280997 2295717 2855229 3014181 4353817 5211887 6842991 6887151 8565687 9948107 13061451 15635661 20528973 23842153 29652961 29844321 39184353 46906983 67754531 71526459 88958883 89532963 136977781 203263593 214579377 266876649 309947989 410933343 609790779 929843967 932927773 1232800029 1780711153 2789531901 2798783319 4267745387 5342133459 8396349957 9751440577 12128061049 12803236161 16026400377 29254321731 36384183147 38409708483 55480690031 87762965193 109152549441 126768727501 166442070093 380306182503 499326210279 1140918547509 1745507863283 5236523589849 15709570769547 22691602222679 68074806668037 204224420004111