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1301314013 = 29371212781
BaseRepresentation
bin100110110010000…
…0111100111011101
310100200122121020022
41031210013213131
510131114022023
6333043401525
744150662256
oct11544074735
93320577208
101301314013
1160861552a
123039832a5
131797a80bc
14c4b83b2d
157939e7c8
hex4d9079dd

1301314013 has 8 divisors (see below), whose sum is σ = 1382571480. Its totient is φ = 1222482240.

The previous prime is 1301313983. The next prime is 1301314039. The reversal of 1301314013 is 3104131031.

It can be written as a sum of positive squares in 4 ways, for example, as 783888004 + 517426009 = 27998^2 + 22747^2 .

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

It is not a de Polignac number, because 1301314013 - 212 = 1301309917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1301313982 and 1301314000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301314043) 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 7 ways as a sum of consecutive naturals, for example, 605318 + ... + 607463.

It is an arithmetic number, because the mean of its divisors is an integer number (172821435).

Almost surely, 21301314013 is an apocalyptic number.

It is an amenable number.

1301314013 is a deficient number, since it is larger than the sum of its proper divisors (81257467).

1301314013 is a wasteful number, since it uses less digits than its factorization.

1301314013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212847.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1301314013 is about 36073.7302340637. The cubic root of 1301314013 is about 1091.7604783226.

Adding to 1301314013 its reverse (3104131031), we get a palindrome (4405445044).

The spelling of 1301314013 in words is "one billion, three hundred one million, three hundred fourteen thousand, thirteen".

Divisors: 1 29 37 1073 1212781 35170649 44872897 1301314013