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212013123315 = 35721725036779
BaseRepresentation
bin1100010101110011110…
…1111000011011110011
3202021020120002120122120
43011130331320123303
511433200324421230
6241221505005323
721213611546100
oct3053475703363
9667216076576
10212013123315
1181a06976594
123510a923843
1316cba0ca076
14a393757aa7
1557ace38310
hex315cf786f3

212013123315 has 96 divisors (see below), whose sum is σ = 418044602880. Its totient is φ = 91169197056.

The previous prime is 212013123239. The next prime is 212013123317. The reversal of 212013123315 is 513321310212.

It is a happy number.

It is not a de Polignac number, because 212013123315 - 214 = 212013106931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212013123317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31271596 + ... + 31278374.

It is an arithmetic number, because the mean of its divisors is an integer number (4354631280).

Almost surely, 2212013123315 is an apocalyptic number.

212013123315 is a deficient number, since it is larger than the sum of its proper divisors (206031479565).

212013123315 is a wasteful number, since it uses less digits than its factorization.

212013123315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9321 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 212013123315 its reverse (513321310212), we get a palindrome (725334433527).

The spelling of 212013123315 in words is "two hundred twelve billion, thirteen million, one hundred twenty-three thousand, three hundred fifteen".

Divisors: 1 3 5 7 15 17 21 35 49 51 85 105 119 147 245 255 357 595 735 833 1785 2499 2503 4165 6779 7509 12495 12515 17521 20337 33895 37545 42551 47453 52563 87605 101685 115243 122647 127653 142359 212755 237265 262815 297857 332171 345729 367941 576215 613235 638265 711795 806701 893571 996513 1489285 1660855 1728645 1839705 2084999 2420103 4033505 4467855 4982565 5646907 6254997 10424995 12100515 16940721 16967837 28234535 31274985 50903511 84703605 84839185 118774859 254517555 288453229 356324577 593874295 831424013 865359687 1442266145 1781622885 2019172603 2494272039 4157120065 4326798435 6057517809 10095863015 12471360195 14134208221 30287589045 42402624663 70671041105 212013123315