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1330122330 = 2335171971471
BaseRepresentation
bin100111101001000…
…0000111001011010
310102200212012211000
41033102000321122
510211002403310
6335553045430
744650565445
oct11722007132
93380765730
101330122330
11622901659
12311556876
13182753844
14c892265c
157bb904c0
hex4f480e5a

1330122330 has 128 divisors (see below), whose sum is σ = 3777269760. Its totient is φ = 331914240.

The previous prime is 1330122317. The next prime is 1330122331. The reversal of 1330122330 is 332210331.

1330122330 is a `hidden beast` number, since 1 + 330 + 1 + 2 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1330122331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 903495 + ... + 904965.

It is an arithmetic number, because the mean of its divisors is an integer number (29509920).

Almost surely, 21330122330 is an apocalyptic number.

1330122330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888634880).

1330122330 is an abundant number, since it is smaller than the sum of its proper divisors (2447147430).

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

1330122330 is a wasteful number, since it uses less digits than its factorization.

1330122330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1330122330 is about 36470.8421893435. The cubic root of 1330122330 is about 1099.7581644671.

Adding to 1330122330 its reverse (332210331), we get a palindrome (1662332661).

The spelling of 1330122330 in words is "one billion, three hundred thirty million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 197 255 270 306 394 459 510 591 765 918 985 1182 1471 1530 1773 1970 2295 2942 2955 3349 3546 4413 4590 5319 5910 6698 7355 8826 8865 10047 10638 13239 14710 16745 17730 20094 22065 25007 26478 26595 30141 33490 39717 44130 50014 50235 53190 60282 66195 75021 79434 90423 100470 125035 132390 150042 150705 180846 198585 225063 250070 289787 301410 375105 397170 450126 452115 579574 675189 750210 869361 904230 1125315 1350378 1448935 1738722 2250630 2608083 2897870 3375945 4346805 4926379 5216166 6751890 7824249 8693610 9852758 13040415 14779137 15648498 24631895 26080830 29558274 39121245 44337411 49263790 73895685 78242490 88674822 133012233 147791370 221687055 266024466 443374110 665061165 1330122330