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2103133824 = 273211295997
BaseRepresentation
bin111110101011011…
…0100011010000000
312102120102021020100
41331112310122000
513301400240244
6544405242400
7103055225331
oct17526643200
95376367210
102103133824
1198a189630
124a8403400
132769473ac
1415d464288
15c4985b69
hex7d5b4680

2103133824 has 384 divisors, whose sum is σ = 7017192000. Its totient is φ = 598671360.

The previous prime is 2103133789. The next prime is 2103133841. The reversal of 2103133824 is 4283313012.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21681744 + ... + 21681840.

Almost surely, 22103133824 is an apocalyptic number.

2103133824 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 2103133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508596000).

2103133824 is an abundant number, since it is smaller than the sum of its proper divisors (4914058176).

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

2103133824 is a wasteful number, since it uses less digits than its factorization.

2103133824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2103133824 is about 45859.9370256872. The cubic root of 2103133824 is about 1281.2158499278.

Adding to 2103133824 its reverse (4283313012), we get a palindrome (6386446836).

The spelling of 2103133824 in words is "two billion, one hundred three million, one hundred thirty-three thousand, eight hundred twenty-four".