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2103441120 = 253251137297
BaseRepresentation
bin111110101011111…
…1111011011100000
312102120222212202200
41331113333123200
513301440103440
6544420013200
7103060645254
oct17527773340
95376885680
102103441120
1198a3794a0
124a8531200
13276a24221
1415d504264
15c49e6c30
hex7d5ff6e0

2103441120 has 432 divisors, whose sum is σ = 8130861648. Its totient is φ = 491028480.

The previous prime is 2103441107. The next prime is 2103441121. The reversal of 2103441120 is 211443012.

2103441120 is a `hidden beast` number, since 2 + 103 + 441 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2103441093 and 2103441102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103441121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21684912 + ... + 21685008.

It is an arithmetic number, because the mean of its divisors is an integer number (18821439).

Almost surely, 22103441120 is an apocalyptic number.

2103441120 is a gapful number since it is divisible by the number (20) 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 2103441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065430824).

2103441120 is an abundant number, since it is smaller than the sum of its proper divisors (6027420528).

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

2103441120 is a wasteful number, since it uses less digits than its factorization.

2103441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2103441120 is about 45863.2872786066. The cubic root of 2103441120 is about 1281.2782478166.

Adding to 2103441120 its reverse (211443012), we get a palindrome (2314884132).

The spelling of 2103441120 in words is "two billion, one hundred three million, four hundred forty-one thousand, one hundred twenty".