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1112120010 = 233511336451
BaseRepresentation
bin100001001001001…
…1001101011001010
32212111122112212000
41002102121223022
54234200320020
6302204331430
736362602251
oct10222315312
92774575760
101112120010
11520843251
12270543b76
131495354a1
14a79b5798
156797c090
hex42499aca

1112120010 has 64 divisors (see below), whose sum is σ = 2991980160. Its totient is φ = 293932800.

The previous prime is 1112119993. The next prime is 1112120029. The reversal of 1112120010 is 100212111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1112119974 and 1112120001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12285 + ... + 48735.

It is an arithmetic number, because the mean of its divisors is an integer number (46749690).

Almost surely, 21112120010 is an apocalyptic number.

1112120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495990080).

1112120010 is an abundant number, since it is smaller than the sum of its proper divisors (1879860150).

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

1112120010 is a wasteful number, since it uses less digits than its factorization.

1112120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36580 (or 36574 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1112120010 is about 33348.4633828907. The cubic root of 1112120010 is about 1036.0575621580.

Adding to 1112120010 its reverse (100212111), we get a palindrome (1212332121).

The spelling of 1112120010 in words is "one billion, one hundred twelve million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1695 2034 3051 3390 5085 6102 10170 15255 30510 36451 72902 109353 182255 218706 328059 364510 546765 656118 984177 1093530 1640295 1968354 3280590 4118963 4920885 8237926 9841770 12356889 20594815 24713778 37070667 41189630 61784445 74141334 111212001 123568890 185353335 222424002 370706670 556060005 1112120010