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1120441100 = 2252172922727
BaseRepresentation
bin100001011001000…
…1001001100001100
32220002022022020112
41002302021030030
54243313103400
6303102535152
736523410062
oct10262111414
92802268215
101120441100
11525506a89
122732974b8
1314b189acc
14a8b40032
1568572835
hex42c8930c

1120441100 has 72 divisors (see below), whose sum is σ = 2663267040. Its totient is φ = 407249920.

The previous prime is 1120441097. The next prime is 1120441109. The reversal of 1120441100 is 11440211.

It is not an unprimeable number, because it can be changed into a prime (1120441109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37937 + ... + 60663.

It is an arithmetic number, because the mean of its divisors is an integer number (36989820).

Almost surely, 21120441100 is an apocalyptic number.

1120441100 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 1120441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331633520).

1120441100 is an abundant number, since it is smaller than the sum of its proper divisors (1542825940).

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

1120441100 is a wasteful number, since it uses less digits than its factorization.

1120441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22787 (or 22780 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1120441100 is about 33472.9906043664. The cubic root of 1120441100 is about 1038.6351363541.

Adding to 1120441100 its reverse (11440211), we get a palindrome (1131881311).

The spelling of 1120441100 in words is "one billion, one hundred twenty million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4930 9860 12325 22727 24650 45454 49300 90908 113635 227270 386359 454540 568175 659083 772718 1136350 1318166 1545436 1931795 2272700 2636332 3295415 3863590 6590830 7727180 9658975 11204411 13181660 16477075 19317950 22408822 32954150 38635900 44817644 56022055 65908300 112044110 224088220 280110275 560220550 1120441100