Search a number
-
+
212224241440131 = 317229109446317351
BaseRepresentation
bin110000010000010001001110…
…100001100001010110000011
31000211102102212021112121011020
4300100101032201201112003
5210304040221302041011
62031210245351520523
762462460354165564
oct6020211641412603
91024372767477136
10212224241440131
1161691882689098
121b976591089143
13915587730043b
143a599cb00c16b
15198068d718006
hexc1044e861583

212224241440131 has 96 divisors (see below), whose sum is σ = 313896180787200. Its totient is φ = 127353161779200.

The previous prime is 212224241440109. The next prime is 212224241440177. The reversal of 212224241440131 is 131044142422212.

It is a happy number.

It is not a de Polignac number, because 212224241440131 - 210 = 212224241439107 is a prime.

It is a super-2 number, since 2×2122242414401312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212224241440092 and 212224241440101.

It is not an unprimeable number, because it can be changed into a prime (212224241400131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12231231106 + ... + 12231248456.

It is an arithmetic number, because the mean of its divisors is an integer number (3269751883200).

Almost surely, 2212224241440131 is an apocalyptic number.

212224241440131 is a deficient number, since it is larger than the sum of its proper divisors (101671939347069).

212224241440131 is a wasteful number, since it uses less digits than its factorization.

212224241440131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21989 (or 21972 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 212224241440131 its reverse (131044142422212), we get a palindrome (343268383862343).

The spelling of 212224241440131 in words is "two hundred twelve trillion, two hundred twenty-four billion, two hundred forty-one million, four hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 17 29 51 87 109 289 327 493 867 1479 1853 3161 4463 5559 8381 9483 13389 17351 25143 31501 52053 53737 75871 94503 129427 161211 227613 294967 388281 486467 503179 884901 913529 1289807 1459401 1509537 1891259 2200259 2740587 3869421 5014439 5673777 6600777 8269939 8554043 14107543 15043317 24809817 25662129 32151403 37404403 42322629 54846511 77437513 96454209 112213209 140588963 145418731 164539533 232312539 239828231 421766889 436256193 546573851 719484693 932390687 1316437721 1639721553 2245687877 2797172061 3949313163 4077079927 6737063631 8440688917 12231239781 15850641679 22379441257 25322066751 38176693909 47551925037 67138323771 114530081727 143491711589 244779978593 430475134767 649003796453 734339935779 1947011389359 2439359097013 4161259636081 7318077291039 12483778908243 70741413813377 212224241440131