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112124204002140 = 223511206982109791
BaseRepresentation
bin11001011111100111110011…
…010110011010101101011100
3112200222222011120010200100120
4121133213303112122231130
5104144020332211032030
61034245052003354540
732421464204600211
oct3137476326325534
9480888146120316
10112124204002140
11327a96760a6130
12106aa509082a50
134a7436199a405
141d98baa1d1b08
15ce691b7b6010
hex65f9f359ab5c

112124204002140 has 96 divisors (see below), whose sum is σ = 342654015191040. Its totient is φ = 27168487315200.

The previous prime is 112124204002123. The next prime is 112124204002141. The reversal of 112124204002140 is 41200402421211.

It is a happy number.

It is a super-2 number, since 2×1121242040021402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112124204002140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112124204002141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39689356 + ... + 42420435.

It is an arithmetic number, because the mean of its divisors is an integer number (3569312658240).

Almost surely, 2112124204002140 is an apocalyptic number.

112124204002140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112124204002140 is an abundant number, since it is smaller than the sum of its proper divisors (230529811188900).

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

112124204002140 is a wasteful number, since it uses less digits than its factorization.

112124204002140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82111883 (or 82111881 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 112124204002140 its reverse (41200402421211), we get a palindrome (153324606423351).

The spelling of 112124204002140 in words is "one hundred twelve trillion, one hundred twenty-four billion, two hundred four million, two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2069 4138 6207 8276 10345 12414 20690 22759 24828 31035 41380 45518 62070 68277 91036 113795 124140 136554 227590 273108 341385 455180 682770 1365540 82109791 164219582 246329373 328439164 410548955 492658746 821097910 903207701 985317492 1231646865 1642195820 1806415402 2463293730 2709623103 3612830804 4516038505 4926587460 5419246206 9032077010 10838492412 13548115515 18064154020 27096231030 54192462060 169885157579 339770315158 509655472737 679540630316 849425787895 1019310945474 1698851575790 1868736733369 2038621890948 2548277363685 3397703151580 3737473466738 5096554727370 5606210200107 7474946933476 9343683666845 10193109454740 11212420400214 18687367333690 22424840800428 28031051000535 37374734667380 56062102001070 112124204002140