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2201013022122 = 2321941332347237
BaseRepresentation
bin100000000001110110100…
…110010110110110101010
321210102012101022101120100
4200001312212112312222
5242030133313201442
64403044215410230
7315006104000235
oct40016646266652
97712171271510
102201013022122
1177949851a552
122b66a2983976
1312c7296cca05
147875b30c41c
153c3c035684c
hex20076996daa

2201013022122 has 96 divisors (see below), whose sum is σ = 5143946109120. Its totient is φ = 677885725440.

The previous prime is 2201013022099. The next prime is 2201013022157. The reversal of 2201013022122 is 2212203101022.

2201013022122 is a `hidden beast` number, since 220 + 101 + 302 + 21 + 22 = 666.

It is a super-2 number, since 2×22010130221222 (a number of 25 digits) contains 22 as substring.

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 = 2201013022095 and 2201013022104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46571488 + ... + 46618724.

It is an arithmetic number, because the mean of its divisors is an integer number (53582771970).

Almost surely, 22201013022122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201013022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571973054560).

2201013022122 is an abundant number, since it is smaller than the sum of its proper divisors (2942933086998).

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

2201013022122 is a wasteful number, since it uses less digits than its factorization.

2201013022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50628 (or 50625 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2201013022122 its reverse (2212203101022), we get a palindrome (4413216123144).

The spelling of 2201013022122 in words is "two trillion, two hundred one billion, thirteen million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 2337 3323 4674 6646 7011 9969 14022 19938 29907 47237 59814 63137 94474 126274 136243 141711 189411 272486 283422 378822 408729 425133 568233 817458 850266 897503 1136466 1226187 1795006 1936717 2452374 2588617 2692509 3873434 5177234 5385018 5810151 7765851 8077527 11620302 15531702 16155054 17430453 23297553 34860906 36797623 46595106 73595246 110392869 156968551 220785738 313937102 331178607 470905653 662357214 941811306 1412716959 2825433918 2982402469 5964804938 6435710591 8947207407 12871421182 17894414814 19307131773 26841622221 38614263546 53683244442 57921395319 115842790638 122278501229 244557002458 366835503687 733671007374 1100506511061 2201013022122