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1300341220 = 225175372161
BaseRepresentation
bin100110110000001…
…1010000111100100
310100121211011210221
41031200122013210
510130341404340
6333010454124
744136501163
oct11540320744
93317734727
101300341220
11608010672
12303594344
13179527399
14c49ad3da
157925b44a
hex4d81a1e4

1300341220 has 48 divisors (see below), whose sum is σ = 2945941488. Its totient is φ = 480296960.

The previous prime is 1300341191. The next prime is 1300341227. The reversal of 1300341220 is 221430031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 215561124 + 1084780096 = 14682^2 + 32936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1300341194 and 1300341203.

It is not an unprimeable number, because it can be changed into a prime (1300341227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18061 + ... + 54100.

It is an arithmetic number, because the mean of its divisors is an integer number (61373781).

Almost surely, 21300341220 is an apocalyptic number.

1300341220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300341220 is an abundant number, since it is smaller than the sum of its proper divisors (1645600268).

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

1300341220 is a wasteful number, since it uses less digits than its factorization.

1300341220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72240 (or 72238 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1300341220 is about 36060.2443142029. The cubic root of 1300341220 is about 1091.4883631898.

Adding to 1300341220 its reverse (221430031), we get a palindrome (1521771251).

The spelling of 1300341220 in words is "one billion, three hundred million, three hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 18020 72161 144322 288644 360805 721610 1226737 1443220 2453474 3824533 4906948 6133685 7649066 12267370 15298132 19122665 24534740 38245330 65017061 76490660 130034122 260068244 325085305 650170610 1300341220