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112221010202202 = 2321131717091046183
BaseRepresentation
bin11001100001000001111101…
…011100110000111001011010
3112201100020001011002011201200
4121201001331130300321122
5104202112112102432302
61034401342000255030
732431462150660506
oct3141017534607132
9481306034064650
10112221010202202
1132836732733050
1210705225311476
134a8051b8cc3b5
141d9d750ddd306
15ce91d542981c
hex66107d730e5a

112221010202202 has 96 divisors (see below), whose sum is σ = 266242361823360. Its totient is φ = 33879223109760.

The previous prime is 112221010202183. The next prime is 112221010202297. The reversal of 112221010202202 is 202202010122211.

It is a happy number.

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

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 47 ways as a sum of consecutive naturals, for example, 106744003 + ... + 107790185.

It is an arithmetic number, because the mean of its divisors is an integer number (2773357935660).

Almost surely, 2112221010202202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112221010202202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133121180911680).

112221010202202 is an abundant number, since it is smaller than the sum of its proper divisors (154021351621158).

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

112221010202202 is a wasteful number, since it uses less digits than its factorization.

112221010202202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048228 (or 1048225 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112221010202202 its reverse (202202010122211), we get a palindrome (314423020324413).

The spelling of 112221010202202 in words is "one hundred twelve trillion, two hundred twenty-one billion, ten million, two hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 317 634 951 1709 1902 2853 3418 3487 5127 5706 6974 10254 10461 15381 18799 20922 30762 31383 37598 56397 62766 112794 169191 338382 541753 1046183 1083506 1625259 2092366 3138549 3250518 4875777 5959283 6277098 9415647 9751554 11508013 11918566 17877849 18831294 23016026 34524039 35755698 53633547 69048078 103572117 107267094 207144234 331640011 663280022 994920033 1787926747 1989840066 2984760099 3575853494 3648040121 5363780241 5969520198 7296080242 10727560482 10944120363 16091340723 19667194217 21888240726 32182681446 32832361089 39334388434 59001582651 65664722178 118003165302 177004747953 354009495906 566772778799 1133545557598 1700318336397 3400636672794 5100955009191 6234500566789 10201910018382 12469001133578 18703501700367 37407003400734 56110505101101 112221010202202