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1304112313 = 72171565561
BaseRepresentation
bin100110110111011…
…0010110010111001
310100212220202210001
41031232302302321
510132323043223
6333223353001
744213525500
oct11556626271
93325822701
101304112313
1160a156979
123048b2761
1317a2479ba
14c52b1837
15797539ad
hex4dbb2cb9

1304112313 has 12 divisors (see below), whose sum is σ = 1606266612. Its totient is φ = 1052056320.

The previous prime is 1304112263. The next prime is 1304112349. The reversal of 1304112313 is 3132114031.

It can be written as a sum of positive squares in 2 ways, for example, as 852464809 + 451647504 = 29197^2 + 21252^2 .

It is not a de Polignac number, because 1304112313 - 29 = 1304111801 is a prime.

It is a super-4 number, since 4×13041123134 (a number of 38 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1304112353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 781948 + ... + 783613.

It is an arithmetic number, because the mean of its divisors is an integer number (133855551).

Almost surely, 21304112313 is an apocalyptic number.

It is an amenable number.

1304112313 is a deficient number, since it is larger than the sum of its proper divisors (302154299).

1304112313 is a wasteful number, since it uses less digits than its factorization.

1304112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565592 (or 1565585 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1304112313 is about 36112.4952474902. The cubic root of 1304112313 is about 1092.5424792047.

Adding to 1304112313 its reverse (3132114031), we get a palindrome (4436226344).

The spelling of 1304112313 in words is "one billion, three hundred four million, one hundred twelve thousand, three hundred thirteen".

Divisors: 1 7 17 49 119 833 1565561 10958927 26614537 76712489 186301759 1304112313