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212330201221332 = 223318159918133541
BaseRepresentation
bin110000010001110011111010…
…001110000000100011010100
31000211210120100210120012021000
4300101303322032000203110
5210312304223003040312
62031331051533423300
762503231216363515
oct6021637216004324
91024716323505230
10212330201221332
1161722807174aa7
121b99302293ab30
13916286276661c
143a60b9d7aca0c
1519832e0c93adc
hexc11cfa3808d4

212330201221332 has 96 divisors (see below), whose sum is σ = 554451180192000. Its totient is φ = 70268192841600.

The previous prime is 212330201221283. The next prime is 212330201221343. The reversal of 212330201221332 is 233122102033212.

212330201221332 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 302 + 0 + 1 + 2 + 21 + 332 = 666.

It is a super-2 number, since 2×2123302012213322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212330201221296 and 212330201221305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2642482 + ... + 20776022.

It is an arithmetic number, because the mean of its divisors is an integer number (5775533127000).

Almost surely, 2212330201221332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212330201221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277225590096000).

212330201221332 is an abundant number, since it is smaller than the sum of its proper divisors (342120978970668).

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

212330201221332 is a wasteful number, since it uses less digits than its factorization.

212330201221332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18134334 (or 18134326 counting only the distinct ones).

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

Adding to 212330201221332 its reverse (233122102033212), we get a palindrome (445452303254544).

The spelling of 212330201221332 in words is "two hundred twelve trillion, three hundred thirty billion, two hundred one million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 599 724 1086 1198 1629 1797 2172 2396 3258 3594 4887 5391 6516 7188 9774 10782 16173 19548 21564 32346 64692 108419 216838 325257 433676 650514 975771 1301028 1951542 2927313 3903084 5854626 11709252 18133541 36267082 54400623 72534164 108801246 163201869 217602492 326403738 489605607 652807476 979211214 1958422428 3282170921 6564341842 9846512763 10861991059 13128683684 19693025526 21723982118 29539538289 32585973177 39386051052 43447964236 59079076578 65171946354 88618614867 97757919531 118158153156 130343892708 177237229734 195515839062 293273758593 354474459468 391031678124 586547517186 1173095034372 1966020381679 3932040763358 5898061145037 7864081526716 11796122290074 17694183435111 23592244580148 35388366870222 53082550305333 70776733740444 106165100610666 212330201221332