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314310341020 = 2251310091198103
BaseRepresentation
bin1001001001011100101…
…10110011000110011100
31010001021211100200011111
410210232112303012130
520122201421403040
6400220413231404
731464621550234
oct4445626630634
91101254320144
10314310341020
11111330aa2315
1250ab9a92564
1323840819410
14112d9920cc4
158298b94dea
hex492e5b319c

314310341020 has 48 divisors (see below), whose sum is σ = 711530003520. Its totient is φ = 115937934336.

The previous prime is 314310341003. The next prime is 314310341083. The reversal of 314310341020 is 20143013413.

It is a junction number, because it is equal to n+sod(n) for n = 314310340982 and 314310341000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336712 + ... + 861391.

It is an arithmetic number, because the mean of its divisors is an integer number (14823541740).

Almost surely, 2314310341020 is an apocalyptic number.

It is an amenable number.

314310341020 is an abundant number, since it is smaller than the sum of its proper divisors (397219662500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314310341020 is a wasteful number, since it uses less digits than its factorization.

314310341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199134 (or 1199132 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 314310341020 its reverse (20143013413), we get a palindrome (334453354433).

The spelling of 314310341020 in words is "three hundred fourteen billion, three hundred ten million, three hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1009 2018 4036 5045 10090 13117 20180 26234 52468 65585 131170 262340 1198103 2396206 4792412 5990515 11981030 15575339 23962060 31150678 62301356 77876695 155753390 311506780 1208885927 2417771854 4835543708 6044429635 12088859270 15715517051 24177718540 31431034102 62862068204 78577585255 157155170510 314310341020