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1300131300 = 2235213333367
BaseRepresentation
bin100110101111110…
…0110110111100100
310100121102111212010
41031133212313210
510130313200200
6333002154220
744134635156
oct11537466744
93317374763
101300131300
11607987986
123034b2970
13179482980
14c4956ad6
1579219150
hex4d7e6de4

1300131300 has 72 divisors (see below), whose sum is σ = 4051087936. Its totient is φ = 320031360.

The previous prime is 1300131299. The next prime is 1300131307. The reversal of 1300131300 is 31310031.

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

It is not an unprimeable number, because it can be changed into a prime (1300131307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162784 + ... + 170583.

Almost surely, 21300131300 is an apocalyptic number.

1300131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300131300 is an abundant number, since it is smaller than the sum of its proper divisors (2750956636).

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

1300131300 is a wasteful number, since it uses less digits than its factorization.

1300131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333397 (or 333390 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1300131300 is about 36057.3335120610. Note that the first 3 decimals coincide. The cubic root of 1300131300 is about 1091.4296253845.

Adding to 1300131300 its reverse (31310031), we get a palindrome (1331441331).

The spelling of 1300131300 in words is "one billion, three hundred million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 333367 666734 1000101 1333468 1666835 2000202 3333670 4000404 4333771 5000505 6667340 8334175 8667542 10001010 13001313 16668350 17335084 20002020 21668855 25002525 26002626 33336700 43337710 50005050 52005252 65006565 86675420 100010100 108344275 130013130 216688550 260026260 325032825 433377100 650065650 1300131300