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2010112221110 = 25724729291999
BaseRepresentation
bin11101010000000100000…
…001100101111110110110
321010011110011202220111212
4131100010001211332312
5230413202212033420
64135233253001422
7265140311652200
oct35200401457666
97104404686455
102010112221110
11705535a44214
122856a6623272
13117725583b66
146d40b8a5770
153744ab563c5
hex1d404065fb6

2010112221110 has 144 divisors (see below), whose sum is σ = 4307168520000. Its totient is φ = 673454767104.

The previous prime is 2010112221097. The next prime is 2010112221113. The reversal of 2010112221110 is 111222110102.

It is a super-2 number, since 2×20101122211102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010112221113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1005557891 + ... + 1005559889.

It is an arithmetic number, because the mean of its divisors is an integer number (29910892500).

Almost surely, 22010112221110 is an apocalyptic number.

2010112221110 is an abundant number, since it is smaller than the sum of its proper divisors (2297056298890).

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

2010112221110 is a wasteful number, since it uses less digits than its factorization.

2010112221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2010112221110 its reverse (111222110102), we get a palindrome (2121334331212).

The spelling of 2010112221110 in words is "two trillion, ten billion, one hundred twelve million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 47 49 70 94 98 235 245 329 470 490 658 929 1645 1858 1999 2209 2303 3290 3998 4418 4606 4645 6503 9290 9995 11045 11515 13006 13993 15463 19990 22090 23030 27986 30926 32515 43663 45521 65030 69965 77315 87326 91042 93953 97951 108241 139930 154630 187906 195902 216482 218315 227605 305641 436630 455210 469765 489755 541205 611282 657671 939530 979510 1082410 1315342 1528205 1857071 2052161 2139487 3056410 3288355 3714142 4104322 4278974 4415791 4603697 6576710 8831582 9207394 9285355 10260805 10697435 12999497 14365127 18570710 20521610 21394870 22078955 23018485 25998994 28730254 30910537 44157910 46036970 61821074 64997485 71825635 87282337 90996479 100555889 129994970 143651270 154552685 174564674 181992958 201111778 216373759 309105370 432747518 436411685 454982395 502779445 610976359 872823370 909964790 1005558890 1081868795 1221952718 2163737590 3054881795 4102269839 4276834513 6109763590 8204539678 8553669026 20511349195 21384172565 28715888873 41022698390 42768345130 57431777746 143579444365 201011222111 287158888730 402022444222 1005056110555 2010112221110