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10122221212110 = 2335710949134611
BaseRepresentation
bin1001001101001100001101…
…1001100101000111001110
31022211200020000000010112000
42103103003121211013032
52311320302112241420
633310030105453130
72063210035453620
oct223230331450716
938750200003460
1010122221212110
11325289aa96727
1211759074a11a6
135856a1590287
1426dcbd474c10
1512847ee05690
hex934c36651ce

10122221212110 has 128 divisors (see below), whose sum is σ = 31131690163200. Its totient is φ = 2292424364160.

The previous prime is 10122221212067. The next prime is 10122221212123. The reversal of 10122221212110 is 1121212222101.

10122221212110 is a `hidden beast` number, since 1 + 0 + 122 + 221 + 212 + 110 = 666.

It is a super-2 number, since 2×101222212121102 (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24361296 + ... + 24773315.

It is an arithmetic number, because the mean of its divisors is an integer number (243216329400).

Almost surely, 210122221212110 is an apocalyptic number.

10122221212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122221212110 is an abundant number, since it is smaller than the sum of its proper divisors (21009468951090).

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

10122221212110 is a wasteful number, since it uses less digits than its factorization.

10122221212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49134743 (or 49134737 counting only the distinct ones).

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

Adding to 10122221212110 its reverse (1121212222101), we get a palindrome (11243433434211).

The spelling of 10122221212110 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 109 126 135 189 210 218 270 315 327 378 545 630 654 763 945 981 1090 1526 1635 1890 1962 2289 2943 3270 3815 4578 4905 5886 6867 7630 9810 11445 13734 14715 20601 22890 29430 34335 41202 68670 103005 206010 49134611 98269222 147403833 245673055 294807666 343942277 442211499 491346110 687884554 737019165 884422998 1031826831 1326634497 1474038330 1719711385 2063653662 2211057495 2653268994 3095480493 3439422770 4422114990 5159134155 5355672599 6190960986 6633172485 9286441479 10318268310 10711345198 13266344970 15477402465 16067017797 18572882958 26778362995 30954804930 32134035594 37489708193 46432207395 48201053391 53556725990 74979416386 80335088985 92864414790 96402106782 112469124579 144603160173 160670177970 187448540965 224938249158 241005266955 289206320346 337407373737 374897081930 482010533910 562345622895 674814747474 723015800865 1012222121211 1124691245790 1446031601730 1687036868685 2024444242422 3374073737370 5061110606055 10122221212110