Search a number
-
+
312430101131214 = 233114112828697591
BaseRepresentation
bin100011100001001110100110…
…1001100011110111111001110
31111222020000200221011221222000
41013002131031030132333032
5311422323321342144324
63024252223530133130
7122544221106005463
oct10702351514367716
91458200627157860
10312430101131214
1190605953064070
122b05b0688811a6
1310544055746481
1457219aa22966a
15261c055acb9c9
hex11c274d31efce

312430101131214 has 64 divisors (see below), whose sum is σ = 775879630364160. Its totient is φ = 92366622648000.

The previous prime is 312430101131207. The next prime is 312430101131273. The reversal of 312430101131214 is 412131101034213.

312430101131214 is a `hidden beast` number, since 3 + 1 + 2 + 430 + 1 + 0 + 1 + 13 + 1 + 214 = 666.

It is a super-2 number, since 2×3124301011312142 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6414324442 + ... + 6414373149.

It is an arithmetic number, because the mean of its divisors is an integer number (12123119224440).

Almost surely, 2312430101131214 is an apocalyptic number.

312430101131214 is an abundant number, since it is smaller than the sum of its proper divisors (463449529232946).

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

312430101131214 is a wasteful number, since it uses less digits than its factorization.

312430101131214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12828697654 (or 12828697648 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 312430101131214 its reverse (412131101034213), we get a palindrome (724561202165427).

The spelling of 312430101131214 in words is "three hundred twelve trillion, four hundred thirty billion, one hundred one million, one hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 198 246 297 369 451 594 738 902 1107 1353 2214 2706 4059 8118 12177 24354 12828697591 25657395182 38486092773 76972185546 115458278319 141115673501 230916556638 282231347002 346374834957 423347020503 525976601231 692749669914 846694041006 1051953202462 1270041061509 1577929803693 2540082123018 3155859607386 3810123184527 4733789411079 5785742613541 7620246369054 9467578822158 11571485227082 14201368233237 17357227840623 28402736466474 34714455681246 52071683521869 104143367043738 156215050565607 312430101131214