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212201011110 = 2351147101135461
BaseRepresentation
bin1100010110100000101…
…0100111011110100110
3202021201122122021020210
43011220022213132212
511434041424323420
6241252300040250
721221352555654
oct3055012473646
9667648567223
10212201011110
1181aa2a36460
1235161833086
131701a00328a
14a3b06a5dd4
1557be69d9e0
hex31682a77a6

212201011110 has 128 divisors (see below), whose sum is σ = 573023766528. Its totient is φ = 49849280000.

The previous prime is 212201011007. The next prime is 212201011151. The reversal of 212201011110 is 11110102212.

212201011110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122010111102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1498780 + ... + 1634240.

It is an arithmetic number, because the mean of its divisors is an integer number (4476748176).

Almost surely, 2212201011110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286511883264).

212201011110 is an abundant number, since it is smaller than the sum of its proper divisors (360822755418).

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

212201011110 is a wasteful number, since it uses less digits than its factorization.

212201011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135630.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212201011110 its reverse (11110102212), we get a palindrome (223311113322).

The spelling of 212201011110 in words is "two hundred twelve billion, two hundred one million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 101 110 141 165 202 235 282 303 330 470 505 517 606 705 1010 1034 1111 1410 1515 1551 2222 2585 3030 3102 3333 4747 5170 5555 6666 7755 9494 11110 14241 15510 16665 23735 28482 33330 47470 52217 71205 104434 135461 142410 156651 261085 270922 313302 406383 522170 677305 783255 812766 1354610 1490071 1566510 2031915 2980142 4063830 4470213 6366667 7450355 8940426 12733334 13681561 14900710 19100001 22351065 27363122 31833335 38200002 41044683 44702130 63666670 68407805 70033337 82089366 95500005 136815610 140066674 150497171 191000010 205223415 210100011 300994342 350166685 410446830 420200022 451491513 643033367 700333370 752485855 902983026 1050500055 1286066734 1504971710 1929100101 2101000110 2257457565 3215166835 3858200202 4514915130 6430333670 7073367037 9645500505 14146734074 19291001010 21220101111 35366835185 42440202222 70733670370 106100505555 212201011110