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212303223321012 = 223217400723865687
BaseRepresentation
bin110000010001011010110010…
…001101011111000110110100
31000211200222201122212212021200
4300101122302031133012310
5210311334000132233022
62031310430535412500
762501254534123065
oct6021326215370664
91024628648785250
10212303223321012
116171232291620a
121b989953b24130
139160153522ab5
143a5d76088056c
151982762626bac
hexc116b235f1b4

212303223321012 has 72 divisors (see below), whose sum is σ = 568225407387456. Its totient is φ = 66604689656064.

The previous prime is 212303223320827. The next prime is 212303223321031. The reversal of 212303223321012 is 210123322303212.

212303223321012 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 0 + 322 + 3 + 321 + 0 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 244809633 + ... + 245675319.

It is an arithmetic number, because the mean of its divisors is an integer number (7892019547048).

Almost surely, 2212303223321012 is an apocalyptic number.

It is an amenable number.

212303223321012 is an abundant number, since it is smaller than the sum of its proper divisors (355922184066444).

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

212303223321012 is a wasteful number, since it uses less digits than its factorization.

212303223321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266437 (or 1266432 counting only the distinct ones).

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

Adding to 212303223321012 its reverse (210123322303212), we get a palindrome (422426545624224).

The spelling of 212303223321012 in words is "two hundred twelve trillion, three hundred three billion, two hundred twenty-three million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 400723 801446 865687 1202169 1602892 1731374 2404338 2597061 3462748 3606507 4808676 5194122 6812291 7213014 7791183 10388244 13624582 14426028 14716679 15582366 20436873 27249164 29433358 31164732 40873746 44150037 58866716 61310619 81747492 88300074 122621238 132450111 176600148 245242476 264900222 529800444 346900691701 693801383402 1040702075103 1387602766804 2081404150206 3122106225309 4162808300412 5897311758917 6244212450618 11794623517834 12488424901236 17691935276751 23589247035668 35383870553502 53075805830253 70767741107004 106151611660506 212303223321012