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212234344245 = 32571126191283
BaseRepresentation
bin1100010110101000100…
…1110001011100110101
3202021210222100202201100
43011222021301130311
511434123443003440
6241255450320313
721222236106060
oct3055211613465
9667728322640
10212234344245
118200a833100
1235170a29099
1317023ba4421
14a3b4ca18d7
1557c2585230
hex316a271735

212234344245 has 144 divisors (see below), whose sum is σ = 469702187136. Its totient is φ = 86754412800.

The previous prime is 212234344229. The next prime is 212234344249. The reversal of 212234344245 is 542443432212.

212234344245 is a `hidden beast` number, since 2 + 1 + 223 + 4 + 3 + 4 + 424 + 5 = 666.

212234344245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212234344245 - 24 = 212234344229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212234344249) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2279374 + ... + 2370656.

It is an arithmetic number, because the mean of its divisors is an integer number (3261820744).

Almost surely, 2212234344245 is an apocalyptic number.

It is an amenable number.

212234344245 is an abundant number, since it is smaller than the sum of its proper divisors (257467842891).

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

212234344245 is a wasteful number, since it uses less digits than its factorization.

212234344245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91384 (or 91370 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 212234344245 its reverse (542443432212), we get a palindrome (754677776457).

The spelling of 212234344245 in words is "two hundred twelve billion, two hundred thirty-four million, three hundred forty-four thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 61 63 77 99 105 121 165 183 231 305 315 363 385 427 495 549 605 671 693 847 915 1089 1155 1281 1815 2013 2135 2541 2745 3355 3465 3843 4235 4697 5445 6039 6405 7381 7623 10065 12705 14091 19215 22143 23485 30195 36905 38115 42273 51667 66429 70455 91283 110715 155001 211365 258335 273849 332145 456415 465003 638981 775005 821547 1004113 1369245 1916943 2325015 3012339 3194905 4107735 5020565 5568263 5750829 7028791 9037017 9584715 11045243 15061695 16704789 21086373 27841315 28754145 33135729 35143955 38977841 45185085 50114367 55226215 61250893 63259119 77316701 83523945 99407187 105431865 116933523 165678645 183752679 194889205 231950103 250571835 306254465 316295595 350800569 386583505 428756251 497035935 551258037 584667615 673759823 695850309 918763395 1159750515 1286268753 1754002845 2021279469 2143781255 2756290185 3368799115 3479251545 3858806259 4716318761 6063838407 6431343765 10106397345 14148956283 19294031295 23581593805 30319192035 42446868849 70744781415 212234344245