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2110222111221 = 327374175129401
BaseRepresentation
bin11110101101010011000…
…010100001000111110101
321110201212000012020122200
4132231103002201013311
5234033213330024341
64253231143215113
7305313161664060
oct36552302410765
97421760166580
102110222111221
11743a38406394
122a0b85147499
13123cbaa8a923
14741c736d8d7
1539d5984adb6
hex1eb530a11f5

2110222111221 has 96 divisors (see below), whose sum is σ = 3669956699136. Its totient is φ = 1143072000000.

The previous prime is 2110222111211. The next prime is 2110222111229. The reversal of 2110222111221 is 1221112220112.

2110222111221 is a `hidden beast` number, since 2 + 110 + 222 + 111 + 221 = 666.

It is not a de Polignac number, because 2110222111221 - 225 = 2110188556789 is a prime.

It is a super-2 number, since 2×21102221112212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2110222111194 and 2110222111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110222111229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71759121 + ... + 71788521.

It is an arithmetic number, because the mean of its divisors is an integer number (38228715616).

Almost surely, 22110222111221 is an apocalyptic number.

2110222111221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2110222111221 is a deficient number, since it is larger than the sum of its proper divisors (1559734587915).

2110222111221 is a wasteful number, since it uses less digits than its factorization.

2110222111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30243 (or 30240 counting only the distinct ones).

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

Adding to 2110222111221 its reverse (1221112220112), we get a palindrome (3331334331333).

The spelling of 2110222111221 in words is "two trillion, one hundred ten billion, two hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 37 41 63 111 123 259 287 333 369 751 777 861 1517 2253 2331 2583 4551 5257 6759 10619 13653 15771 27787 29401 30791 31857 47313 83361 88203 92373 95571 194509 205807 215537 250083 264609 277119 583527 617421 646611 1087837 1139267 1205441 1750581 1852263 1939833 3263511 3417801 3616323 7614859 7974869 8438087 9790533 10253403 10848969 22080151 22844577 23924607 25314261 44601317 66240453 68533731 71773821 75942783 133803951 154561057 198721359 312209219 401411853 463683171 816965587 905286191 936627657 1391049513 2450896761 2715858573 2809882971 5718759109 6337003337 7352690283 8147575719 17156277327 19011010011 33495589067 51468831981 57033030033 100486767201 234469123469 301460301603 703407370407 2110222111221