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1300202313 = 317473131733
BaseRepresentation
bin100110101111111…
…1000001101001001
310100121120010021020
41031133320031021
510130322433223
6333003503053
744135352204
oct11537701511
93317503236
101300202313
11607a26273
12303527a89
131794a90a7
14c497493b
15792301e3
hex4d7f8349

1300202313 has 32 divisors (see below), whose sum is σ = 1881709056. Its totient is φ = 795445248.

The previous prime is 1300202227. The next prime is 1300202333. The reversal of 1300202313 is 3132020031.

It is not a de Polignac number, because 1300202313 - 212 = 1300198217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1300202292 and 1300202301.

It is not an unprimeable number, because it can be changed into a prime (1300202333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749395 + ... + 751127.

It is an arithmetic number, because the mean of its divisors is an integer number (58803408).

Almost surely, 21300202313 is an apocalyptic number.

It is an amenable number.

1300202313 is a deficient number, since it is larger than the sum of its proper divisors (581506743).

1300202313 is a wasteful number, since it uses less digits than its factorization.

1300202313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1300202313 is about 36058.3182220136. The cubic root of 1300202313 is about 1091.4494962701.

Adding to 1300202313 its reverse (3132020031), we get a palindrome (4432222344).

The spelling of 1300202313 in words is "one billion, three hundred million, two hundred two thousand, three hundred thirteen".

Divisors: 1 3 17 47 51 141 313 799 939 1733 2397 5199 5321 14711 15963 29461 44133 81451 88383 244353 250087 542429 750261 1384667 1627287 4154001 9221293 25494163 27663879 76482489 433400771 1300202313