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1300310020 = 225277234713
BaseRepresentation
bin100110110000001…
…0010100000000100
310100121202121000101
41031200102200010
510130334410040
6333010053444
744136311212
oct11540224004
93317677011
101300310020
11607a9a189
1230357a284
13179516119
14c49a1cb2
157925209a
hex4d812804

1300310020 has 24 divisors (see below), whose sum is σ = 2740520664. Its totient is φ = 518244096.

The previous prime is 1300310009. The next prime is 1300310029. The reversal of 1300310020 is 200130031.

It can be written as a sum of positive squares in 4 ways, for example, as 3013696 + 1297296324 = 1736^2 + 36018^2 .

It is a super-2 number, since 2×13003100202 = 3381612296224800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1300309979 and 1300310006.

It is not an unprimeable number, because it can be changed into a prime (1300310029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111817 + ... + 122896.

It is an arithmetic number, because the mean of its divisors is an integer number (114188361).

Almost surely, 21300310020 is an apocalyptic number.

1300310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300310020 is an abundant number, since it is smaller than the sum of its proper divisors (1440210644).

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

1300310020 is a wasteful number, since it uses less digits than its factorization.

1300310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234999 (or 234997 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1300310020 is about 36059.8117022261. The cubic root of 1300310020 is about 1091.4796335044.

Adding to 1300310020 its reverse (200130031), we get a palindrome (1500440051).

The spelling of 1300310020 in words is "one billion, three hundred million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 234713 469426 938852 1173565 2347130 4694260 65015501 130031002 260062004 325077505 650155010 1300310020