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110001011012226 = 232149751493311071
BaseRepresentation
bin11001000000101110011011…
…001011111011001010000010
3112102110222211120221112011100
4121000232123023323022002
5103404224032304342401
61025541433345155230
732112211412134215
oct3100563313731202
9472428746845140
10110001011012226
1132060191aa5694
1210406b2402bb16
13494c087895b49
141d2411231777c
15cab5a336bb86
hex640b9b2fb282

110001011012226 has 96 divisors (see below), whose sum is σ = 240324987801600. Its totient is φ = 36361761840000.

The previous prime is 110001011012173. The next prime is 110001011012227. The reversal of 110001011012226 is 622210110100011.

It is a super-3 number, since 3×1100010110122263 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 110001011012199 and 110001011012208.

It is not an unprimeable number, because it can be changed into a prime (110001011012227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9935954271 + ... + 9935965341.

It is an arithmetic number, because the mean of its divisors is an integer number (2503385289600).

Almost surely, 2110001011012226 is an apocalyptic number.

110001011012226 is an abundant number, since it is smaller than the sum of its proper divisors (130323976789374).

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

110001011012226 is a wasteful number, since it uses less digits than its factorization.

110001011012226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16912 (or 16909 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 110001011012226 its reverse (622210110100011), we get a palindrome (732211121112237).

The spelling of 110001011012226 in words is "one hundred ten trillion, one billion, eleven million, twelve thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 149 298 447 751 894 1341 1502 2253 2682 4506 4933 6759 9866 11071 13518 14799 22142 29598 33213 44397 66426 88794 99639 111899 199278 223798 335697 671394 735017 1007091 1470034 1649579 2014182 2205051 3299158 3704683 4410102 4948737 6615153 7409366 8314321 9897474 11114049 13230306 14846211 16628642 22228098 24942963 29692422 33342147 49885926 54613243 66684294 74828889 109226486 149657778 163839729 327679458 491519187 551997767 983038374 1103995534 1238833829 1655993301 2477667658 3311986602 3716501487 4967979903 7433002974 8137373207 9935959806 11149504461 16274746414 22299008922 24412119621 41014545493 48824239242 73236358863 82029090986 123043636479 146472717726 246087272958 369130909437 738261818874 6111167278457 12222334556914 18333501835371 36667003670742 55000505506113 110001011012226