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11122001110010 = 257259215314259
BaseRepresentation
bin1010000111011000101011…
…1011001110001111111010
31110101020211101021012200102
42201312022323032033322
52424210324241010020
635353213214435402
72225352361412600
oct241661273161772
943336741235612
1011122001110010
1135a88a574965a
1212b7627802b62
13628a53083a8b
142a6444585870
15144497191475
hexa1d8aece3fa

11122001110010 has 144 divisors (see below), whose sum is σ = 23710551297120. Its totient is φ = 3745297967040.

The previous prime is 11122001110009. The next prime is 11122001110013. The reversal of 11122001110010 is 1001110022111.

It is a junction number, because it is equal to n+sod(n) for n = 11122001109973 and 11122001110000.

It is not an unprimeable number, because it can be changed into a prime (11122001110013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2611409261 + ... + 2611413519.

It is an arithmetic number, because the mean of its divisors is an integer number (164656606230).

Almost surely, 211122001110010 is an apocalyptic number.

11122001110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11122001110010 is an abundant number, since it is smaller than the sum of its proper divisors (12588550187110).

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

11122001110010 is a wasteful number, since it uses less digits than its factorization.

11122001110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11122001110010 its reverse (1001110022111), we get a palindrome (12123111132121).

The spelling of 11122001110010 in words is "eleven trillion, one hundred twenty-two billion, one million, one hundred ten thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 59 70 98 118 245 295 413 490 590 826 1531 2065 2891 3062 3481 4130 4259 5782 6962 7655 8518 10717 14455 15310 17405 21295 21434 24367 28910 29813 34810 42590 48734 53585 59626 75019 90329 107170 121835 149065 150038 170569 180658 208691 243670 251281 298130 341138 375095 417382 451645 502562 632303 750190 852845 903290 1043455 1256405 1264606 1705690 1758967 2086910 2512810 3161515 3517934 4426121 5329411 6323030 6520529 8794835 8852242 10658822 12312769 13041058 14825579 17589670 22130605 24625538 26647055 29651158 32602645 37305877 44261210 45643703 53294110 61563845 65205290 74127895 74611754 91287406 103779053 123127690 148255790 186529385 207558106 228218515 261141139 319505921 373058770 384711211 456437030 518895265 522282278 639011842 726453371 769422422 1037790530 1305705695 1452906742 1597529605 1923556055 2611411390 2692978477 3195059210 3632266855 3847112110 5385956954 7264533710 13464892385 18850849339 22697961449 26929784770 37701698678 45395922898 94254246695 113489807245 158885730143 188508493390 226979614490 317771460286 794428650715 1112200111001 1588857301430 2224400222002 5561000555005 11122001110010