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1300310220 = 22351119971069
BaseRepresentation
bin100110110000001…
…0010100011001100
310100121202121021210
41031200102203030
510130334411340
6333010054420
744136311616
oct11540224314
93317677253
101300310220
11607a9a350
1230357a410
13179516241
14c49a1db6
1579252180
hex4d8128cc

1300310220 has 192 divisors, whose sum is σ = 4227955200. Its totient is φ = 295280640.

The previous prime is 1300310189. The next prime is 1300310227. The reversal of 1300310220 is 220130031.

It is a happy number.

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 = 1300310196 and 1300310205.

It is not an unprimeable number, because it can be changed into a prime (1300310227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1215846 + ... + 1216914.

It is an arithmetic number, because the mean of its divisors is an integer number (22020600).

Almost surely, 21300310220 is an apocalyptic number.

1300310220 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 1300310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113977600).

1300310220 is an abundant number, since it is smaller than the sum of its proper divisors (2927644980).

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

1300310220 is a wasteful number, since it uses less digits than its factorization.

1300310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1206 counting only the distinct ones).

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

The square root of 1300310220 is about 36059.8144753963. The cubic root of 1300310220 is about 1091.4796894643.

Adding to 1300310220 its reverse (220130031), we get a palindrome (1520440251).

The spelling of 1300310220 in words is "one billion, three hundred million, three hundred ten thousand, two hundred twenty".