Search a number
-
+
21121302202110 = 2345112981741949
BaseRepresentation
bin1001100110101101011111…
…01101110000011011111110
32202210011202212101021010000
410303112233231300123332
510232022411330431420
6112530554155455130
74306651362334635
oct463265755603376
982704685337100
1021121302202110
116803548509840
1224515494574a6
13ba2965493016
145303c294251c
15269630a7a690
hex1335afb706fe

21121302202110 has 160 divisors (see below), whose sum is σ = 64092228156000. Its totient is φ = 4943753015040.

The previous prime is 21121302202109. The next prime is 21121302202111. The reversal of 21121302202110 is 1120220312112.

21121302202110 is a `hidden beast` number, since 21 + 1 + 213 + 0 + 220 + 211 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21121302202109) and next prime (21121302202111).

It is a super-2 number, since 2×211213022021102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121302202111) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40612585 + ... + 41129364.

It is an arithmetic number, because the mean of its divisors is an integer number (400576425975).

Almost surely, 221121302202110 is an apocalyptic number.

21121302202110 is an abundant number, since it is smaller than the sum of its proper divisors (42970925953890).

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

21121302202110 is a wasteful number, since it uses less digits than its factorization.

21121302202110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81742008 (or 81741999 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21121302202110 its reverse (1120220312112), we get a palindrome (22241522514222).

The spelling of 21121302202110 in words is "twenty-one trillion, one hundred twenty-one billion, three hundred two million, two hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 81 87 90 99 110 135 145 162 165 174 198 261 270 290 297 319 330 405 435 495 522 594 638 783 810 870 891 957 990 1305 1485 1566 1595 1782 1914 2349 2610 2871 2970 3190 3915 4455 4698 4785 5742 7830 8613 8910 9570 11745 14355 17226 23490 25839 28710 43065 51678 86130 129195 258390 81741949 163483898 245225847 408709745 490451694 735677541 817419490 899161439 1226129235 1471355082 1798322878 2207032623 2370516521 2452258470 2697484317 3678387705 4414065246 4495807195 4741033042 5394968634 6621097869 7111549563 7356775410 8092452951 8991614390 11035163115 11852582605 13242195738 13487421585 14223099126 16184905902 21334648689 22070326230 23705165210 24277358853 26075681731 26974843170 33105489345 35557747815 40462264755 42669297378 48554717706 52151363462 64003946067 66210978690 71115495630 72832076559 78227045193 80924529510 106673243445 121386794265 128007892134 130378408655 145664153118 156454090386 192011838201 213346486890 234681135579 242773588530 260756817310 320019730335 364160382795 384023676402 391135225965 469362271158 640039460670 704043406737 728320765590 782270451930 960059191005 1173405677895 1408086813474 1920118382010 2112130220211 2346811355790 3520217033685 4224260440422 7040434067370 10560651101055 21121302202110