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222110111001012 = 2231310739373337957
BaseRepresentation
bin110010100000001000001010…
…010001000110100110110100
31002010102112000112012211022220
4302200020022101012212310
5213103023001404013022
62104215550521322340
764532632415036163
oct6240101221064664
91063375015184286
10222110111001012
1164853407296a53
1220ab25169363b0
1396c1b802c9a40
143cbc28856b3da
151aa28d8b2485c
hexca020a4469b4

222110111001012 has 96 divisors (see below), whose sum is σ = 563354919050112. Its totient is φ = 67700946479616.

The previous prime is 222110111000971. The next prime is 222110111001029. The reversal of 222110111001012 is 210100111011222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 222110111000982 and 222110111001000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657045138 + ... + 657383094.

It is an arithmetic number, because the mean of its divisors is an integer number (5868280406772).

Almost surely, 2222110111001012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222110111001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281677459525056).

222110111001012 is an abundant number, since it is smaller than the sum of its proper divisors (341244808049100).

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

222110111001012 is a wasteful number, since it uses less digits than its factorization.

222110111001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377457 (or 377455 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 222110111001012 its reverse (210100111011222), we get a palindrome (432210222012234).

The spelling of 222110111001012 in words is "two hundred twenty-two trillion, one hundred ten billion, one hundred eleven million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 2782 4173 5564 8346 16692 39373 78746 118119 157492 236238 337957 472476 511849 675914 1013871 1023698 1351828 1535547 2027742 2047396 3071094 4055484 4212911 4393441 6142188 8425822 8786882 12638733 13180323 16851644 17573764 25277466 26360646 36161399 50554932 52721292 54767843 72322798 108484197 109535686 144645596 164303529 216968394 219071372 328607058 433936788 470098187 657214116 940196374 1410294561 1880392748 2820589122 5641178244 13306380961 26612761922 39919142883 53225523844 79838285766 159676571532 172982952493 345965904986 518948857479 691931809972 1037897714958 1423782762827 2075795429916 2847565525654 4271348288481 5695131051308 8542696576962 17085393153924 18509175916751 37018351833502 55527527750253 74036703667004 111055055500506 222110111001012