Search a number
-
+
1320130020 = 22351112831559
BaseRepresentation
bin100111010101111…
…1001010111100100
310102000001112221110
41032223321113210
510200423130040
6334554545020
744466630366
oct11653712744
93360045843
101320130020
116181a7250
1230a138170
13180665631
14c7480d36
157ad69980
hex4eaf95e4

1320130020 has 96 divisors (see below), whose sum is σ = 4038128640. Its totient is φ = 319576960.

The previous prime is 1320130003. The next prime is 1320130037. The reversal of 1320130020 is 200310231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1320130003) and next prime (1320130037).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1320129978 and 1320130005.

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, 846001 + ... + 847559.

It is an arithmetic number, because the mean of its divisors is an integer number (42063840).

Almost surely, 21320130020 is an apocalyptic number.

1320130020 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 1320130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019064320).

1320130020 is an abundant number, since it is smaller than the sum of its proper divisors (2717998620).

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

1320130020 is a wasteful number, since it uses less digits than its factorization.

1320130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1320130020 is about 36333.5935464688. The cubic root of 1320130020 is about 1096.9973262004.

Adding to 1320130020 its reverse (200310231), we get a palindrome (1520440251).

The spelling of 1320130020 in words is "one billion, three hundred twenty million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1283 1559 2566 3118 3849 4677 5132 6236 6415 7698 7795 9354 12830 14113 15396 15590 17149 18708 19245 23385 25660 28226 31180 34298 38490 42339 46770 51447 56452 68596 70565 76980 84678 85745 93540 102894 141130 169356 171490 205788 211695 257235 282260 342980 423390 514470 846780 1028940 2000197 4000394 6000591 8000788 10000985 12001182 20001970 22002167 24002364 30002955 40003940 44004334 60005910 66006501 88008668 110010835 120011820 132013002 220021670 264026004 330032505 440043340 660065010 1320130020