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213311310030 = 23357138681779
BaseRepresentation
bin1100011010101001011…
…0000100100011001110
3202101121000212022001000
43012222112010203032
511443330143410110
6241554401401130
721261024135030
oct3065226044316
9671530768030
10213311310030
1182512745475
12354116391a6
131716604b8a0
14a477d25c50
155836dbb1c0
hex31aa5848ce

213311310030 has 128 divisors (see below), whose sum is σ = 700098739200. Its totient is φ = 45006337152.

The previous prime is 213311310019. The next prime is 213311310049. The reversal of 213311310030 is 30013113312.

It is a happy number.

213311310030 is a `hidden beast` number, since 2 + 13 + 311 + 310 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213311309985 and 213311310012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4316320 + ... + 4365459.

It is an arithmetic number, because the mean of its divisors is an integer number (5469521400).

Almost surely, 2213311310030 is an apocalyptic number.

213311310030 is an abundant number, since it is smaller than the sum of its proper divisors (486787429170).

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

213311310030 is a wasteful number, since it uses less digits than its factorization.

213311310030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8681815 (or 8681809 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 213311310030 its reverse (30013113312), we get a palindrome (243324423342).

The spelling of 213311310030 in words is "two hundred thirteen billion, three hundred eleven million, three hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4095 4914 8190 12285 24570 8681779 17363558 26045337 43408895 52090674 60772453 78136011 86817790 112863127 121544906 130226685 156272022 182317359 225726254 234408033 260453370 303862265 338589381 364634718 390680055 468816066 546952077 564315635 607724530 677178762 781360110 790041889 911586795 1015768143 1093904154 1128631270 1172040165 1580083778 1640856231 1692946905 1823173590 2031536286 2344080330 2370125667 2734760385 3047304429 3281712462 3385893810 3950209445 4740251334 5078840715 5469520770 6094608858 7110377001 7900418890 8204281155 10157681430 11850628335 14220754002 15236522145 16408562310 21331131003 23701256670 30473044290 35551885005 42662262006 71103770010 106655655015 213311310030