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1324041314211 = 337118947914939
BaseRepresentation
bin10011010001000111000…
…000110001111110100011
311200120120201022202101000
4103101013000301332203
5133143114034023321
62452131200243043
7164441656322430
oct23210700617643
94616521282330
101324041314211
11470582893410
12194736910483
1397b19b2a555
144812649ab87
1524694877826
hex13447031fa3

1324041314211 has 128 divisors (see below), whose sum is σ = 2478366720000. Its totient is φ = 678620194560.

The previous prime is 1324041314209. The next prime is 1324041314257. The reversal of 1324041314211 is 1124131404231.

It is a happy number.

1324041314211 is a `hidden beast` number, since 1 + 3 + 24 + 0 + 413 + 14 + 211 = 666.

It is not a de Polignac number, because 1324041314211 - 21 = 1324041314209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1324041314611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88622380 + ... + 88637318.

It is an arithmetic number, because the mean of its divisors is an integer number (19362240000).

Almost surely, 21324041314211 is an apocalyptic number.

1324041314211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1324041314211 is a deficient number, since it is larger than the sum of its proper divisors (1154325405789).

1324041314211 is a wasteful number, since it uses less digits than its factorization.

1324041314211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15534 (or 15528 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1324041314211 its reverse (1124131404231), we get a palindrome (2448172718442).

The spelling of 1324041314211 in words is "one trillion, three hundred twenty-four billion, forty-one million, three hundred fourteen thousand, two hundred eleven".

Divisors: 1 3 7 9 11 21 27 33 63 77 89 99 189 231 267 297 479 623 693 801 979 1437 1869 2079 2403 2937 3353 4311 5269 5607 6853 8811 10059 12933 14939 15807 16821 20559 26433 30177 36883 42631 44817 47421 61677 90531 104573 110649 127893 134451 142263 164329 185031 298417 313719 331947 383679 403353 468941 492987 895251 941157 995841 1150303 1151037 1329571 1406823 1478961 2685753 2823471 3282587 3450909 3988713 4220469 4436883 7155781 8057259 9306997 9847761 10352727 11966139 12661407 14625281 21467343 27920991 29543283 31058181 35898417 43875843 50090467 64402029 78713591 83762973 88629849 102376967 131627529 150271401 193206087 236140773 251288919 307130901 394882587 450814203 550995137 636864509 708422319 921392703 1352442609 1652985411 1910593527 2125266957 2764178109 4458051563 4958956233 5731780581 7005509599 13374154689 14876868699 17195341743 21016528797 40122464067 49038567193 63049586391 120367392201 147115701579 189148759173 441347104737 1324041314211