Search a number
-
+
212212102110 = 23517599772707
BaseRepresentation
bin1100010110100011010…
…0111011001111011110
3202021202102111202020120
43011220310323033132
511434102244231420
6241253333455410
721221546051151
oct3055064731736
9667672452216
10212212102110
1181aa9221278
12351654a1566
131701c3b75b8
14a3b1d51c98
1557c063ed40
hex3168d3b3de

212212102110 has 128 divisors (see below), whose sum is σ = 554069859840. Its totient is φ = 51817857024.

The previous prime is 212212102099. The next prime is 212212102121. The reversal of 212212102110 is 11201212212.

It is an interprime number because it is at equal distance from previous prime (212212102099) and next prime (212212102121).

It is a super-3 number, since 3×2122121021103 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212212102110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2882377 + ... + 2955083.

It is an arithmetic number, because the mean of its divisors is an integer number (4328670780).

Almost surely, 2212212102110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212212102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277034929920).

212212102110 is an abundant number, since it is smaller than the sum of its proper divisors (341857757730).

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

212212102110 is a wasteful number, since it uses less digits than its factorization.

212212102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72890.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212212102110 its reverse (11201212212), we get a palindrome (223413314322).

It can be divided in two parts, 212212102 and 110, that added together give a palindrome (212212212).

The spelling of 212212102110 in words is "two hundred twelve billion, two hundred twelve million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 59 85 97 102 118 170 177 194 255 291 295 354 485 510 582 590 885 970 1003 1455 1649 1770 2006 2910 3009 3298 4947 5015 5723 6018 8245 9894 10030 11446 15045 16490 17169 24735 28615 30090 34338 49470 57230 72707 85845 97291 145414 171690 194582 218121 291873 363535 436242 486455 583746 727070 972910 1090605 1236019 1459365 2181210 2472038 2918730 3708057 4289713 6180095 7052579 7416114 8579426 12360190 12869139 14105158 18540285 21157737 21448565 25738278 35262895 37080570 42315474 42897130 64345695 70525790 72925121 105788685 119893843 128691390 145850242 211577370 218775363 239787686 359681529 364625605 416102161 437550726 599469215 719363058 729251210 832204322 1093876815 1198938430 1248306483 1798407645 2080510805 2187753630 2496612966 3596815290 4161021610 6241532415 7073736737 12483064830 14147473474 21221210211 35368683685 42442420422 70737367370 106106051055 212212102110