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1330102120 = 235311397717
BaseRepresentation
bin100111101000111…
…1011111101101000
310102200211012002111
41033101323331220
510211001231440
6335552412104
744650452514
oct11721737550
93380735074
101330102120
11622898456
12311547034
13182747599
14c8919144
157bb894ea
hex4f47bf68

1330102120 has 64 divisors (see below), whose sum is σ = 3111897600. Its totient is φ = 511107840.

The previous prime is 1330102099. The next prime is 1330102129. The reversal of 1330102120 is 212010331.

It is a self number, because there is not a number n which added to its sum of digits gives 1330102120.

It is not an unprimeable number, because it can be changed into a prime (1330102129) 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 15 ways as a sum of consecutive naturals, for example, 168502 + ... + 176218.

It is an arithmetic number, because the mean of its divisors is an integer number (48623400).

Almost surely, 21330102120 is an apocalyptic number.

1330102120 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 1330102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555948800).

1330102120 is an abundant number, since it is smaller than the sum of its proper divisors (1781795480).

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

1330102120 is a wasteful number, since it uses less digits than its factorization.

1330102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7898 (or 7894 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1330102120 is about 36470.5651176397. The cubic root of 1330102120 is about 1099.7525944969.

Adding to 1330102120 its reverse (212010331), we get a palindrome (1542112451).

The spelling of 1330102120 in words is "one billion, three hundred thirty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 139 155 248 278 310 556 620 695 1112 1240 1390 2780 4309 5560 7717 8618 15434 17236 21545 30868 34472 38585 43090 61736 77170 86180 154340 172360 239227 308680 478454 956908 1072663 1196135 1913816 2145326 2392270 4290652 4784540 5363315 8581304 9569080 10726630 21453260 33252553 42906520 66505106 133010212 166262765 266020424 332525530 665051060 1330102120