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2110103424 = 2732111312809
BaseRepresentation
bin111110111000101…
…1001111110000000
312110001112100201200
41331301121332000
513310141302144
6545214501200
7103201404012
oct17561317600
95401470650
102110103424
11993109a30
124aa804800
13278217810
1416035a1b2
15c53b0c69
hex7dc59f80

2110103424 has 192 divisors, whose sum is σ = 7134145200. Its totient is φ = 590192640.

The previous prime is 2110103389. The next prime is 2110103447. The reversal of 2110103424 is 4243010112.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 2110103397 and 2110103406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158332 + ... + 171140.

Almost surely, 22110103424 is an apocalyptic number.

2110103424 is a gapful number since it is divisible by the number (24) 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 2110103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567072600).

2110103424 is an abundant number, since it is smaller than the sum of its proper divisors (5024041776).

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

2110103424 is a wasteful number, since it uses less digits than its factorization.

2110103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12853 (or 12838 counting only the distinct ones).

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

The square root of 2110103424 is about 45935.8620687584. The cubic root of 2110103424 is about 1282.6295682052.

Adding to 2110103424 its reverse (4243010112), we get a palindrome (6353113536).

The spelling of 2110103424 in words is "two billion, one hundred ten million, one hundred three thousand, four hundred twenty-four".