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1330302120 = 233575329881
BaseRepresentation
bin100111101001010…
…1100110010101000
310102201012100102220
41033102230302220
510211024131440
6340000554040
744652244560
oct11722546250
93381170386
101330302120
11622a14744
12311622920
131827b7624
14c896bda0
157bbc88d0
hex4f4acca8

1330302120 has 128 divisors (see below), whose sum is σ = 4647248640. Its totient is φ = 298321920.

The previous prime is 1330302097. The next prime is 1330302133. The reversal of 1330302120 is 212030331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1330302120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29580 + ... + 59460.

It is an arithmetic number, because the mean of its divisors is an integer number (36306630).

Almost surely, 21330302120 is an apocalyptic number.

1330302120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323624320).

1330302120 is an abundant number, since it is smaller than the sum of its proper divisors (3316946520).

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

1330302120 is a wasteful number, since it uses less digits than its factorization.

1330302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29955 (or 29951 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1330302120 is about 36473.3069517970. The cubic root of 1330302120 is about 1099.8077129454.

Adding to 1330302120 its reverse (212030331), we get a palindrome (1542332451).

The spelling of 1330302120 in words is "one billion, three hundred thirty million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2968 3180 3710 4452 5565 6360 7420 8904 11130 14840 22260 29881 44520 59762 89643 119524 149405 179286 209167 239048 298810 358572 418334 448215 597620 627501 717144 836668 896430 1045835 1195240 1255002 1583693 1673336 1792860 2091670 2510004 3137505 3167386 3585720 4183340 4751079 5020008 6275010 6334772 7918465 8366680 9502158 11085851 12550020 12669544 15836930 19004316 22171702 23755395 25100040 31673860 33257553 38008632 44343404 47510790 55429255 63347720 66515106 88686808 95021580 110858510 133030212 166287765 190043160 221717020 266060424 332575530 443434040 665151060 1330302120