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313311130301 = 1327787006701
BaseRepresentation
bin1001000111100101100…
…11000111001010111101
31002221201012011111202002
410203302303013022331
520113130122132201
6355533320512045
731431066444401
oct4436263071275
91087635144662
10313311130301
11110968a68534
125087b31b625
13237117c7580
1411242d3b101
15823b0bc76b
hex48f2cc72bd

313311130301 has 8 divisors (see below), whose sum is σ = 338630084184. Its totient is φ = 288166190400.

The previous prime is 313311130289. The next prime is 313311130303. The reversal of 313311130301 is 103031113313.

It can be written as a sum of positive squares in 4 ways, for example, as 44677276900 + 268633853401 = 211370^2 + 518299^2 .

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 313311130301 - 226 = 313244021437 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313311130303) 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, 43499750 + ... + 43506951.

It is an arithmetic number, because the mean of its divisors is an integer number (42328760523).

Almost surely, 2313311130301 is an apocalyptic number.

It is an amenable number.

313311130301 is a deficient number, since it is larger than the sum of its proper divisors (25318953883).

313311130301 is a wasteful number, since it uses less digits than its factorization.

313311130301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87006991.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 313311130301 its reverse (103031113313), we get a palindrome (416342243614).

The spelling of 313311130301 in words is "three hundred thirteen billion, three hundred eleven million, one hundred thirty thousand, three hundred one".

Divisors: 1 13 277 3601 87006701 1131087113 24100856177 313311130301