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20122202000112 = 243672239390739
BaseRepresentation
bin1001001001101000100001…
…01100111100101011110000
32122020122220212002022102220
410210310100230330223300
510114140232203000422
6110444002331041040
74144531631623452
oct444642054745360
978218825068386
1020122202000112
116458861498463
12230b9988a0180
13b2c69174cc44
144d7cc3c022d2
1524d658300e5c
hex124d10b3caf0

20122202000112 has 120 divisors (see below), whose sum is σ = 52990720876800. Its totient is φ = 6579627804288.

The previous prime is 20122202000099. The next prime is 20122202000119. The reversal of 20122202000112 is 21100020222102.

It is a super-2 number, since 2×201222020001122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20122202000091 and 20122202000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122202000119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51302439 + ... + 51693177.

It is an arithmetic number, because the mean of its divisors is an integer number (441589340640).

Almost surely, 220122202000112 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 20122202000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26495360438400).

20122202000112 is an abundant number, since it is smaller than the sum of its proper divisors (32868518876688).

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

20122202000112 is a wasteful number, since it uses less digits than its factorization.

20122202000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391123 (or 391050 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20122202000112 its reverse (21100020222102), we get a palindrome (41222222222214).

The spelling of 20122202000112 in words is "twenty trillion, one hundred twenty-two billion, two hundred two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 239 268 402 478 536 717 804 956 1072 1434 1608 1912 2868 3216 3824 4489 5736 8978 11472 13467 16013 17956 26934 32026 35912 48039 53868 64052 71824 96078 107736 128104 192156 215472 256208 384312 390739 768624 781478 1072871 1172217 1562956 2145742 2344434 3125912 3218613 4291484 4688868 6251824 6437226 8582968 9377736 12874452 17165936 18755472 25748904 26179513 51497808 52359026 78538539 93386621 104718052 157077078 186773242 209436104 280159863 314154156 373546484 418872208 560319726 628308312 747092968 1120639452 1256616624 1494185936 1754027371 2241278904 3508054742 4482557808 5262082113 6256903607 7016109484 10524164226 12513807214 14032218968 18770710821 21048328452 25027614428 28064437936 37541421642 42096656904 50055228856 75082843284 84193313808 100110457712 150165686568 300331373136 419212541669 838425083338 1257637625007 1676850166676 2515275250014 3353700333352 5030550500028 6707400666704 10061101000056 20122202000112