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11112010012120 = 235895503567209
BaseRepresentation
bin1010000110110011011101…
…1010001101010111011000
31110100022001002020211221211
42201230313122031113120
52424024344030341440
635344441550512504
72224546652445403
oct241546732152730
943308032224854
1011112010012120
1135a4638a64966
1212b56b9805734
13627b20192534
142a5b7769cd3a
151440aee90eea
hexa1b3768d5d8

11112010012120 has 64 divisors (see below), whose sum is σ = 25287583104000. Its totient is φ = 4394056009728.

The previous prime is 11112010012097. The next prime is 11112010012121. The reversal of 11112010012120 is 2121001021111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11112010012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112010012121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19307076 + ... + 19874284.

It is an arithmetic number, because the mean of its divisors is an integer number (395118486000).

Almost surely, 211112010012120 is an apocalyptic number.

11112010012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112010012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12643791552000).

11112010012120 is an abundant number, since it is smaller than the sum of its proper divisors (14175573091880).

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

11112010012120 is a wasteful number, since it uses less digits than its factorization.

11112010012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572812 (or 572808 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11112010012120 its reverse (2121001021111), we get a palindrome (13233011033231).

The spelling of 11112010012120 in words is "eleven trillion, one hundred twelve billion, ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 5503 11006 22012 27515 44024 55030 110060 220120 489767 567209 979534 1134418 1959068 2268836 2448835 2836045 3918136 4537672 4897670 5672090 9795340 11344180 19590680 22688360 50481601 100963202 201926404 252408005 403852808 504816010 1009632020 2019264040 3121351127 6242702254 12485404508 15606755635 24970809016 31213511270 62427022540 124854045080 277800250303 555600500606 1111201001212 1389001251515 2222402002424 2778002503030 5556005006060 11112010012120