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212143144011012 = 2232179773203110771
BaseRepresentation
bin110000001111000101101100…
…101111011000010100000100
31000211010200112110102100102100
4300033011230233120110010
5210301223124331323022
62031105114232312100
762453556605336304
oct6017055457302404
91024120473370370
10212143144011012
11616604472632a5
121b962919842630
13914b021a07ba6
143a55ad6603604
15197d4e3c201ac
hexc0f16cbd8504

212143144011012 has 144 divisors (see below), whose sum is σ = 568558630890432. Its totient is φ = 66465232711680.

The previous prime is 212143144010957. The next prime is 212143144011089. The reversal of 212143144011012 is 210110441341212.

212143144011012 is a `hidden beast` number, since 2 + 1 + 2 + 143 + 14 + 401 + 101 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1915095187 + ... + 1915205957.

It is an arithmetic number, because the mean of its divisors is an integer number (3948323825628).

Almost surely, 2212143144011012 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 212143144011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284279315445216).

212143144011012 is an abundant number, since it is smaller than the sum of its proper divisors (356415486879420).

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

212143144011012 is a wasteful number, since it uses less digits than its factorization.

212143144011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114978 (or 114973 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 212143144011012 its reverse (210110441341212), we get a palindrome (422253585352224).

The spelling of 212143144011012 in words is "two hundred twelve trillion, one hundred forty-three billion, one hundred forty-four million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 977 1954 2931 3203 3908 5862 6406 8793 9609 11724 12812 16609 17586 19218 28827 33218 35172 38436 49827 54451 57654 66436 99654 108902 110771 115308 149481 163353 199308 217804 221542 298962 326706 332313 443084 490059 597924 653412 664626 980118 996939 1329252 1883107 1960236 1993878 3129331 3766214 3987756 5649321 6258662 7532428 9387993 11298642 12517324 16947963 18775986 22597284 28163979 33895926 37551972 53198627 56327958 67791852 106397254 108223267 112655916 159595881 212794508 216446534 319191762 324669801 354799513 432893068 478787643 638383524 649339602 709599026 957575286 974009403 1064398539 1298679204 1419198052 1839795539 1915150572 1948018806 2128797078 3193195617 3679591078 3896037612 4257594156 5519386617 6031591721 6386391234 7359182156 11038773234 12063183442 12772782468 16558159851 18094775163 22077546468 24126366884 33116319702 36189550326 54284325489 66232639404 72379100652 108568650978 217137301956 346639124201 693278248402 1039917372603 1386556496804 2079834745206 3119752117809 4159669490412 5892865111417 6239504235618 11785730222834 12479008471236 17678595334251 23571460445668 35357190668502 53035786002753 70714381337004 106071572005506 212143144011012