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1300000313 = 29278916073
BaseRepresentation
bin100110101111100…
…0110111000111001
310100121011212011202
41031133012320321
510130300002223
6332555303545
744133551243
oct11537067071
93317155152
101300000313
116078a8527
1230344abb5
13179438171
14c4921093
15791e0428
hex4d7c6e39

1300000313 has 8 divisors (see below), whose sum is σ = 1345393800. Its totient is φ = 1254644608.

The previous prime is 1300000309. The next prime is 1300000333. The reversal of 1300000313 is 3130000031.

It can be written as a sum of positive squares in 4 ways, for example, as 110923024 + 1189077289 = 10532^2 + 34483^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1300000313 - 22 = 1300000309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1300000294 and 1300000303.

It is not an unprimeable number, because it can be changed into a prime (1300000333) 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, 72845 + ... + 88917.

It is an arithmetic number, because the mean of its divisors is an integer number (168174225).

Almost surely, 21300000313 is an apocalyptic number.

It is an amenable number.

1300000313 is a deficient number, since it is larger than the sum of its proper divisors (45393487).

1300000313 is a wasteful number, since it uses less digits than its factorization.

1300000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18891.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 1300000313 is about 36055.5170951687. The cubic root of 1300000313 is about 1091.3929706524.

Adding to 1300000313 its reverse (3130000031), we get a palindrome (4430000344).

It can be divided in two parts, 130000031 and 3, that multiplied together give a palindrome (390000093).

The spelling of 1300000313 in words is "one billion, three hundred million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 29 2789 16073 80881 466117 44827597 1300000313