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212111011212210 = 234511118120157451
BaseRepresentation
bin110000001110100111110001…
…011110011110101110110010
31000211000121121001220001010000
4300032213301132132232302
5210300211322332242320
62031042241531050430
762451341410140165
oct6016476136365662
91024017531801100
10212111011212210
1161648858119a30
121b9586505a0a16
139147ca0810086
143a54328c11adc
15197c762c50c90
hexc0e9f179ebb2

212111011212210 has 160 divisors (see below), whose sum is σ = 622719165587904. Its totient is φ = 51377308560000.

The previous prime is 212111011212143. The next prime is 212111011212241. The reversal of 212111011212210 is 12212110111212.

It is a happy number.

212111011212210 is a `hidden beast` number, since 2 + 121 + 110 + 11 + 212 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 443985 + ... + 20601435.

Almost surely, 2212111011212210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111011212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311359582793952).

212111011212210 is an abundant number, since it is smaller than the sum of its proper divisors (410608154375694).

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

212111011212210 is a wasteful number, since it uses less digits than its factorization.

212111011212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20158662 (or 20158653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212111011212210 its reverse (12212110111212), we get a palindrome (224323121323422).

The spelling of 212111011212210 in words is "two hundred twelve trillion, one hundred eleven billion, eleven million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1181 1485 1782 2362 2970 3543 4455 5905 7086 8910 10629 11810 12991 17715 21258 25982 31887 35430 38973 53145 63774 64955 77946 95661 106290 116919 129910 159435 191322 194865 233838 318870 350757 389730 478305 584595 701514 956610 1052271 1169190 1753785 2104542 3507570 5261355 10522710 20157451 40314902 60472353 100787255 120944706 181417059 201574510 221731961 302361765 362834118 443463922 544251177 604723530 665195883 907085295 1088502354 1108659805 1330391766 1632753531 1814170590 1995587649 2217319610 2721255885 3265507062 3325979415 3991175298 5442511770 5986762947 6651958830 8163767655 9977938245 11973525894 16327535310 17960288841 19955876490 23805949631 29933814735 35920577682 47611899262 59867629470 71417848893 89801444205 119029748155 142835697786 179602888410 214253546679 238059496310 261865445941 357089244465 428507093358 523730891882 642760640037 714178488930 785596337823 1071267733395 1285521280074 1309327229705 1571192675646 1928281920111 2142535466790 2356789013469 2618654459410 3213803200185 3856563840222 3927981689115 4713578026938 6427606400370 7070367040407 7855963378230 9641409600555 11783945067345 14140734080814 19282819201110 21211101121221 23567890134690 35351835202035 42422202242442 70703670404070 106055505606105 212111011212210