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1120241112 = 2331725110939
BaseRepresentation
bin100001011000101…
…1000010111011000
32220001221010220120
41002301120113120
54243240203422
6303054353240
736521615034
oct10261302730
92801833816
101120241112
1152538a801
122731bb820
1314b119a83
14a8acb1c4
156853345c
hex42c585d8

1120241112 has 64 divisors (see below), whose sum is σ = 2977430400. Its totient is φ = 350016000.

The previous prime is 1120241107. The next prime is 1120241113. The reversal of 1120241112 is 2111420211.

It is a junction number, because it is equal to n+sod(n) for n = 1120241091 and 1120241100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120241113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 96939 + ... + 107877.

It is an arithmetic number, because the mean of its divisors is an integer number (46522350).

Almost surely, 21120241112 is an apocalyptic number.

1120241112 is a gapful number since it is divisible by the number (12) 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 1120241112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488715200).

1120241112 is an abundant number, since it is smaller than the sum of its proper divisors (1857189288).

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

1120241112 is a wasteful number, since it uses less digits than its factorization.

1120241112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11216 (or 11212 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1120241112 is about 33470.0031670151. The cubic root of 1120241112 is about 1038.5733372040.

Adding to 1120241112 its reverse (2111420211), we get a palindrome (3231661323).

The spelling of 1120241112 in words is "one billion, one hundred twenty million, two hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 251 408 502 753 1004 1506 2008 3012 4267 6024 8534 10939 12801 17068 21878 25602 32817 34136 43756 51204 65634 87512 102408 131268 185963 262536 371926 557889 743852 1115778 1487704 2231556 2745689 4463112 5491378 8237067 10982756 16474134 21965512 32948268 46676713 65896536 93353426 140030139 186706852 280060278 373413704 560120556 1120241112