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210201212012220 = 2232511138166325253
BaseRepresentation
bin101111110010110101001000…
…100100101100011010111100
31000120021001001212202121002200
4233302311020210230122330
5210022414040233342340
62023021034222151500
762163351662604342
oct5762651044543274
91016231055677080
10210201212012220
1160a81919279260
121b6aa4a0722590
139039b73875460
1439c9b15bad992
151947c38a66330
hexbf2d4892c6bc

210201212012220 has 144 divisors (see below), whose sum is σ = 749080682898912. Its totient is φ = 47038033451520.

The previous prime is 210201212012189. The next prime is 210201212012227. The reversal of 210201212012220 is 22210212102012.

It is a happy number.

210201212012220 is a `hidden beast` number, since 21 + 0 + 201 + 21 + 201 + 2 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 210201212012193 and 210201212012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210201212012227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4083136887 + ... + 4083188366.

It is an arithmetic number, because the mean of its divisors is an integer number (5201949186798).

Almost surely, 2210201212012220 is an apocalyptic number.

210201212012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210201212012220 is an abundant number, since it is smaller than the sum of its proper divisors (538879470886692).

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

210201212012220 is a wasteful number, since it uses less digits than its factorization.

210201212012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166325292 (or 8166325287 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210201212012220 its reverse (22210212102012), we get a palindrome (232411424114232).

The spelling of 210201212012220 in words is "two hundred ten trillion, two hundred one billion, two hundred twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 8166325253 16332650506 24498975759 32665301012 40831626265 48997951518 73496927277 81663252530 89829577783 97995903036 106162228289 122494878795 146993854554 163326505060 179659155566 212324456578 244989757590 269488733349 293987709108 318486684867 359318311132 367484636385 424648913156 449147888915 489979515180 530811141445 538977466698 636973369734 734969272770 808466200047 898295777830 955460054601 1061622282890 1077954933396 1167784511179 1273946739468 1347443666745 1469938545540 1592433424335 1616932400094 1796591555660 1910920109202 2123244565780 2335569022358 2694887333490 3184866848670 3233864800188 3503353533537 3821840218404 4042331000235 4671138044716 4777300273005 5389774666980 5838922555895 6369733697340 7006707067074 8084662000470 9554600546010 10510060600611 11677845111790 14013414134148 16169324000940 17516767667685 19109201092020 21020121201222 23355690223580 35033535335370 42040242402444 52550303003055 70067070670740 105100606006110 210201212012220