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313141121141313 = 317101511311889751
BaseRepresentation
bin100011100110011001101100…
…1010010100100101001000001
31112001201222222010202212122010
41013030303121102210221001
5312021001004003010223
63025555013424403133
7122646461620245363
oct10714633122445101
91461658863685563
10313141121141313
119085a449348423
122b154a1ba764a9
1310596108cc593a
14574817ad2cd33
1526307bc377393
hex11cccd94a4a41

313141121141313 has 32 divisors (see below), whose sum is σ = 446545984050432. Its totient is φ = 194497286400000.

The previous prime is 313141121141309. The next prime is 313141121141327.

313141121141313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313141121141313 - 22 = 313141121141309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313141121141353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20392188 + ... + 32281938.

It is an arithmetic number, because the mean of its divisors is an integer number (13954562001576).

Almost surely, 2313141121141313 is an apocalyptic number.

It is an amenable number.

313141121141313 is a deficient number, since it is larger than the sum of its proper divisors (133404862909119).

313141121141313 is a wasteful number, since it uses less digits than its factorization.

313141121141313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11894985.

The product of its digits is 2592, while the sum is 30.

The spelling of 313141121141313 in words is "three hundred thirteen trillion, one hundred forty-one billion, one hundred twenty-one million, one hundred forty-one thousand, three hundred thirteen".

Divisors: 1 3 17 51 101 303 1717 5113 5151 15339 86921 260763 516413 1549239 8779021 11889751 26337063 35669253 202125767 606377301 1200864851 3602594553 20414702467 60792296863 61244107401 182376890589 1033469046671 3100407140013 6140021983163 18420065949489 104380373713771 313141121141313