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1301130020 = 225172225109
BaseRepresentation
bin100110110001101…
…1010101100100100
310100200022020211202
41031203122230210
510131042130040
6333035422032
744146264661
oct11543325444
93320266752
101301130020
116084aa273
123038b4918
13179742428
14c4b36a68
1579365015
hex4d8dab24

1301130020 has 36 divisors (see below), whose sum is σ = 2902568340. Its totient is φ = 489835008.

The previous prime is 1301130007. The next prime is 1301130029. The reversal of 1301130020 is 200311031.

It can be written as a sum of positive squares in 6 ways, for example, as 4553956 + 1296576064 = 2134^2 + 36008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1301129983 and 1301130010.

It is not an unprimeable number, because it can be changed into a prime (1301130029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106775 + ... + 118334.

Almost surely, 21301130020 is an apocalyptic number.

1301130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301130020 is an abundant number, since it is smaller than the sum of its proper divisors (1601438320).

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

1301130020 is a wasteful number, since it uses less digits than its factorization.

1301130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225152 (or 225133 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1301130020 is about 36071.1799086196. The cubic root of 1301130020 is about 1091.7090211668.

Adding to 1301130020 its reverse (200311031), we get a palindrome (1501441051).

The spelling of 1301130020 in words is "one billion, three hundred one million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 225109 450218 900436 1125545 2251090 3826853 4502180 7653706 15307412 19134265 38268530 65056501 76537060 130113002 260226004 325282505 650565010 1301130020