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103226346420336 = 2433109220111933
BaseRepresentation
bin10111011110001001000001…
…101101011011100001110000
3111112111100020120022022112000
4113132021001231123201300
5102012230024140422321
61003313310123334000
730512600044213416
oct2736110155334160
9445440216268460
10103226346420336
112a9890584a3657
12b6b1b5a681300
13457a28343a439
141b6c278cd92b6
15be024a469826
hex5de241b5b870

103226346420336 has 120 divisors (see below), whose sum is σ = 299041128736560. Its totient is φ = 34093103544576.

The previous prime is 103226346420299. The next prime is 103226346420397. The reversal of 103226346420336 is 633024643622301.

103226346420336 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 634 + 6 + 4 + 2 + 0 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103226346420291 and 103226346420300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4923375 + ... + 15188558.

It is an arithmetic number, because the mean of its divisors is an integer number (2492009406138).

Almost surely, 2103226346420336 is an apocalyptic number.

103226346420336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103226346420336 is an abundant number, since it is smaller than the sum of its proper divisors (195814782316224).

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

103226346420336 is a wasteful number, since it uses less digits than its factorization.

103226346420336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20112168 (or 20112047 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 45.

The spelling of 103226346420336 in words is "one hundred three trillion, two hundred twenty-six billion, three hundred forty-six million, four hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 654 872 981 1308 1744 1962 2616 2943 3924 5232 5886 7848 11772 11881 15696 23544 23762 35643 47088 47524 71286 95048 106929 142572 190096 213858 285144 320787 427716 570288 641574 855432 1283148 1710864 2566296 5132592 20111933 40223866 60335799 80447732 120671598 160895464 181007397 241343196 321790928 362014794 482686392 543022191 724029588 965372784 1086044382 1448059176 2172088764 2192200697 2896118352 4344177528 4384401394 6576602091 8688355056 8768802788 13153204182 17537605576 19729806273 26306408364 35075211152 39459612546 52612816728 59189418819 78919225092 105225633456 118378837638 157838450184 236757675276 238949875973 315676900368 473515350552 477899751946 716849627919 947030701104 955799503892 1433699255838 1911599007784 2150548883757 2867398511676 3823198015568 4301097767514 5734797023352 6451646651271 8602195535028 11469594046704 12903293302542 17204391070056 25806586605084 34408782140112 51613173210168 103226346420336