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2100122122212 = 22321134339471259
BaseRepresentation
bin11110100011111001000…
…010000111011111100100
321102202210010021122101200
4132203321002013133210
5233402022230402322
64244441025322500
7304504661334012
oct36437102073744
97382703248350
102100122122212
1173a725208134
1229b026796430
1312306b46197a
1473909c1d8b2
1539967cdb8ac
hex1e8f90877e4

2100122122212 has 144 divisors (see below), whose sum is σ = 5377926415680. Its totient is φ = 690963001344.

The previous prime is 2100122122199. The next prime is 2100122122229. The reversal of 2100122122212 is 2122212210012.

It is a happy number.

2100122122212 is a `hidden beast` number, since 210 + 0 + 1 + 221 + 22 + 212 = 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 47 ways as a sum of consecutive naturals, for example, 1668086839 + ... + 1668088097.

It is an arithmetic number, because the mean of its divisors is an integer number (37346711220).

Almost surely, 22100122122212 is an apocalyptic number.

It is an amenable number.

2100122122212 is an abundant number, since it is smaller than the sum of its proper divisors (3277804293468).

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

2100122122212 is a wasteful number, since it uses less digits than its factorization.

2100122122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2757 counting only the distinct ones).

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

Adding to 2100122122212 its reverse (2122212210012), we get a palindrome (4222334332224).

It can be divided in two parts, 210012 and 2122212, that multiplied together give a palindrome (445689986544).

The spelling of 2100122122212 in words is "two trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 433 452 678 866 947 1017 1259 1299 1356 1732 1894 2034 2518 2598 2841 3777 3788 3897 4068 5036 5196 5682 7554 7794 8523 11331 11364 15108 15588 17046 22662 34092 45324 48929 97858 107011 142267 146787 195716 214022 284534 293574 321033 410051 426801 428044 440361 545147 569068 587148 642066 820102 853602 880722 963099 1090294 1192273 1230153 1280403 1284132 1635441 1640204 1707204 1761444 1926198 2180588 2384546 2460306 2560806 3270882 3576819 3690459 3852396 4769092 4906323 4920612 5121612 6541764 7153638 7380918 9812646 10730457 14307276 14761836 19625292 21460914 42921828 46335763 61601611 92671526 123203222 134726849 139007289 184804833 185343052 246406444 269453698 278014578 369609666 404180547 417021867 516254209 538907396 554414499 556029156 739219332 808361094 834043734 1032508418 1108828998 1212541641 1548762627 1616722188 1668087468 2065016836 2217657996 2425083282 3097525254 4646287881 4850166564 6195050508 9292575762 18585151524 58336725617 116673451234 175010176851 233346902468 350020353702 525030530553 700040707404 1050061061106 2100122122212