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313014343131 = 32722924475279
BaseRepresentation
bin1001000111000010001…
…10111101010111011011
31002220221111201011021200
410203201012331113123
520112023132440011
6355444035405243
731420534005600
oct4434106752733
91086844634250
10313014343131
11110826488986
12507b7a53823
1323695182c69
14112157626a7
15821eee5856
hex48e11bd5db

313014343131 has 36 divisors (see below), whose sum is σ = 544085474400. Its totient is φ = 172697561568.

The previous prime is 313014343079. The next prime is 313014343133. The reversal of 313014343131 is 131343410313.

313014343131 is a `hidden beast` number, since 3 + 1 + 301 + 4 + 343 + 13 + 1 = 666.

It is not a de Polignac number, because 313014343131 - 26 = 313014343067 is a prime.

It is a super-2 number, since 2×3130143431312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313014343095 and 313014343104.

It is not an unprimeable number, because it can be changed into a prime (313014343133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12224851 + ... + 12250428.

It is an arithmetic number, because the mean of its divisors is an integer number (15113485400).

Almost surely, 2313014343131 is an apocalyptic number.

313014343131 is a deficient number, since it is larger than the sum of its proper divisors (231071131269).

313014343131 is a wasteful number, since it uses less digits than its factorization.

313014343131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24475328 (or 24475318 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 313014343131 its reverse (131343410313), we get a palindrome (444357753444).

The spelling of 313014343131 in words is "three hundred thirteen billion, fourteen million, three hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 1421 1827 4263 12789 24475279 73425837 171326953 220277511 513980859 709783091 1199288671 1541942577 2129349273 3597866013 4968481637 6388047819 10793598039 14905444911 34779371459 44716334733 104338114377 313014343131