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120330441 = 3571159109
BaseRepresentation
bin1110010110000…
…01100011001001
322101102102100000
413023001203021
5221301033231
615535033213
72660535420
oct713014311
9271372300
10120330441
1161a18050
123436b809
131bc1145a
1411da42b7
15a86d6e6
hex72c18c9

120330441 has 96 divisors (see below), whose sum is σ = 230630400. Its totient is φ = 60886080.

The previous prime is 120330421. The next prime is 120330451. The reversal of 120330441 is 144033021.

It is not a de Polignac number, because 120330441 - 25 = 120330409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120330421) 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, 1103895 + ... + 1104003.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 2120330441 is an apocalyptic number.

120330441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120330441 is a deficient number, since it is larger than the sum of its proper divisors (110299959).

120330441 is a wasteful number, since it uses less digits than its factorization.

120330441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120330441 is about 10969.5232804348. The cubic root of 120330441 is about 493.6947430338.

Adding to 120330441 its reverse (144033021), we get a palindrome (264363462).

The spelling of 120330441 in words is "one hundred twenty million, three hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 59 63 77 81 99 109 177 189 231 243 297 327 413 531 567 649 693 763 891 981 1199 1239 1593 1701 1947 2079 2289 2673 2943 3597 3717 4543 4779 5841 6237 6431 6867 8393 8829 10791 11151 13629 14337 17523 18711 19293 20601 25179 26487 32373 33453 40887 45017 52569 57879 61803 70741 75537 97119 100359 122661 135051 157707 173637 185409 212223 226611 291357 367983 405153 495187 520911 636669 679833 1103949 1215459 1485561 1562733 1910007 2039499 3646377 4456683 5730021 10939131 13370049 17190063 40110147 120330441