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212011133012 = 227791913171583
BaseRepresentation
bin1100010101110011011…
…0010010100001010100
3202021020102100110110122
43011130312102201110
511433144322224022
6241221354211112
721213555616340
oct3053466224124
9667212313418
10212011133012
1181a05837208
123510a123a98
1316cb9881183
14a39339a620
1557acb93742
hex315cd92854

212011133012 has 96 divisors (see below), whose sum is σ = 433272913920. Its totient is φ = 88904350080.

The previous prime is 212011132999. The next prime is 212011133071. The reversal of 212011133012 is 210331110212.

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 31 ways as a sum of consecutive naturals, for example, 133929173 + ... + 133930755.

It is an arithmetic number, because the mean of its divisors is an integer number (4513259520).

Almost surely, 2212011133012 is an apocalyptic number.

It is an amenable number.

212011133012 is an abundant number, since it is smaller than the sum of its proper divisors (221261780908).

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

212011133012 is a wasteful number, since it uses less digits than its factorization.

212011133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 212011133012 its reverse (210331110212), we get a palindrome (422342243224).

The spelling of 212011133012 in words is "two hundred twelve billion, eleven million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 4 7 14 28 79 158 191 316 317 382 553 634 764 1106 1268 1337 1583 2212 2219 2674 3166 4438 5348 6332 8876 11081 15089 22162 25043 30178 44324 50086 60356 60547 100172 105623 121094 125057 175301 211246 242188 250114 302353 350602 422492 423829 500228 501811 604706 701204 847658 875399 1003622 1209412 1695316 1750798 2007244 2116471 3501596 3512677 4232942 4783213 7025354 8465884 9566426 14050708 19132852 23885887 33482491 39643069 47771774 66964982 79286138 95543548 95845901 133929964 158572276 167201209 191691802 277501483 334402418 383383604 555002966 668804836 670921307 1110005932 1341842614 2683685228 7571826179 15143652358 30287304716 53002783253 106005566506 212011133012