Search a number
-
+
20111112220212 = 2235133115117597
BaseRepresentation
bin1001001001010011110111…
…01100110010111000110100
32122012121021222201010100000
410210221323230302320310
510114000024212021322
6110434530054351300
74143660052222566
oct444517354627064
978177258633300
1020111112220212
116454090609702
12230980295b530
13b2b61504c8c0
144d7551041336
1524d20992a3ac
hex124a7bb32e34

20111112220212 has 144 divisors (see below), whose sum is σ = 56957146227072. Its totient is φ = 6168136106880.

The previous prime is 20111112220193. The next prime is 20111112220229. The reversal of 20111112220212 is 21202221111102.

20111112220212 is a `hidden beast` number, since 201 + 111 + 122 + 20 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370998 + ... + 6488594.

It is an arithmetic number, because the mean of its divisors is an integer number (395535737688).

Almost surely, 220111112220212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111112220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28478573113536).

20111112220212 is an abundant number, since it is smaller than the sum of its proper divisors (36846034006860).

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

20111112220212 is a wasteful number, since it uses less digits than its factorization.

20111112220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117940 (or 5117926 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20111112220212 its reverse (21202221111102), we get a palindrome (41313333331314).

The spelling of 20111112220212 in words is "twenty trillion, one hundred eleven billion, one hundred twelve million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 311 324 351 468 486 622 702 933 972 1053 1244 1404 1866 2106 2799 3159 3732 4043 4212 5598 6318 8086 8397 11196 12129 12636 16172 16794 24258 25191 33588 36387 48516 50382 72774 75573 100764 109161 145548 151146 218322 302292 327483 436644 654966 982449 1309932 1964898 3929796 5117597 10235194 15352791 20470388 30705582 46058373 61411164 66528761 92116746 133057522 138175119 184233492 199586283 266115044 276350238 399172566 414525357 552700476 598758849 798345132 829050714 1197517698 1243576071 1591572667 1658101428 1796276547 2395035396 2487152142 3183145334 3592553094 4774718001 4974304284 5388829641 6366290668 7185106188 9549436002 10777659282 14324154003 16166488923 19098872004 20690444671 21555318564 28648308006 32332977846 41380889342 42972462009 57296616012 62071334013 64665955692 82761778684 85944924018 124142668026 128917386027 171889848036 186214002039 248285336052 257834772054 372428004078 386752158081 515669544108 558642006117 744856008156 773504316162 1117284012234 1547008632324 1675926018351 2234568024468 3351852036702 5027778055053 6703704073404 10055556110106 20111112220212