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313141200430230 = 232518119222909787
BaseRepresentation
bin100011100110011001101111…
…0000001000010010010010110
31112001202000011122222011120200
41013030303132001002102112
5312021001134302231410
63025555025340041330
7122646463602220404
oct10714633601022226
91461660148864520
10313141200430230
119085a48a083357
122b154a42533246
131059611c567463
14574818768c474
1526307c42da3c0
hex11cccde042496

313141200430230 has 48 divisors (see below), whose sum is σ = 818665282051344. Its totient is φ = 83042970275520.

The previous prime is 313141200430171. The next prime is 313141200430237. The reversal of 313141200430230 is 32034002141313.

It is a happy number.

313141200430230 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 4 + 1 + 200 + 430 + 23 + 0 = 666.

It is a super-2 number, since 2×3131412004302302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313141200430194 and 313141200430203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313141200430237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9611438604 + ... + 9611471183.

It is an arithmetic number, because the mean of its divisors is an integer number (17055526709403).

Almost surely, 2313141200430230 is an apocalyptic number.

313141200430230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313141200430230 is an abundant number, since it is smaller than the sum of its proper divisors (505524081621114).

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

313141200430230 is a wasteful number, since it uses less digits than its factorization.

313141200430230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19222909981 (or 19222909978 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 313141200430230 its reverse (32034002141313), we get a palindrome (345175202571543).

The spelling of 313141200430230 in words is "three hundred thirteen trillion, one hundred forty-one billion, two hundred million, four hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 5430 8145 16290 19222909787 38445819574 57668729361 96114548935 115337458722 173006188083 192229097870 288343646805 346012376166 576687293610 865030940415 1730061880830 3479346671447 6958693342894 10438040014341 17396733357235 20876080028682 31314120043023 34793466714470 52190200071705 62628240086046 104380400143410 156570600215115 313141200430230