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411221330 = 2513173747107
BaseRepresentation
bin11000100000101…
…011110101010010
31001122210012121122
4120200223311102
51320233040310
6104445522242
713122216002
oct3040536522
91048705548
10411221330
111a113a743
12b5873382
1367270040
143c886002
152617d555
hex1882bd52

411221330 has 128 divisors (see below), whose sum is σ = 893555712. Its totient is φ = 134811648.

The previous prime is 411221311. The next prime is 411221359. The reversal of 411221330 is 33122114.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 411221299 and 411221308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3843137 + ... + 3843243.

It is an arithmetic number, because the mean of its divisors is an integer number (6980904).

Almost surely, 2411221330 is an apocalyptic number.

411221330 is an abundant number, since it is smaller than the sum of its proper divisors (482334382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

411221330 is a wasteful number, since it uses less digits than its factorization.

411221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 411221330 is about 20278.5928999031. The cubic root of 411221330 is about 743.6328122688.

411221330 divided by its sum of digits (17) gives a triangular number (24189490 = T6955).

Adding to 411221330 its reverse (33122114), we get a palindrome (444343444).

The spelling of 411221330 in words is "four hundred eleven million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 37 47 65 74 85 94 107 130 170 185 214 221 235 370 442 470 481 535 611 629 799 962 1070 1105 1222 1258 1391 1598 1739 1819 2210 2405 2782 3055 3145 3478 3638 3959 3995 4810 5029 6110 6290 6955 7918 7990 8177 8695 9095 10058 10387 13910 16354 17390 18190 19795 20774 22607 23647 25145 29563 39590 40885 45214 47294 50290 51467 51935 59126 65377 67303 81770 85493 102934 103870 113035 118235 130754 134606 147815 170986 186073 226070 236470 257335 295630 326885 336515 372146 384319 427465 514670 653770 673030 768638 854930 874939 930365 1111409 1749878 1860730 1921595 2222818 2418949 3163241 3843190 4374695 4837898 5557045 6326482 8749390 11114090 12094745 15816205 24189490 31632410 41122133 82244266 205610665 411221330