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2103134208 = 2113779619
BaseRepresentation
bin111110101011011…
…0100100000000000
312102120102021202120
41331112310200000
513301400243313
6544405244240
7103055226420
oct17526644000
95376367676
102103134208
1198a18994a
124a8403680
13276947616
1415d464480
15c4985d23
hex7d5b4800

2103134208 has 192 divisors, whose sum is σ = 6499584000. Its totient is φ = 592330752.

The previous prime is 2103134203. The next prime is 2103134213. The reversal of 2103134208 is 8024313012.

It is an interprime number because it is at equal distance from previous prime (2103134203) and next prime (2103134213).

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 (24).

It is not an unprimeable number, because it can be changed into a prime (2103134203) 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, 3397323 + ... + 3397941.

It is an arithmetic number, because the mean of its divisors is an integer number (33852000).

Almost surely, 22103134208 is an apocalyptic number.

2103134208 is a gapful number since it is divisible by the number (28) 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 2103134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792000).

2103134208 is an abundant number, since it is smaller than the sum of its proper divisors (4396449792).

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

2103134208 is an equidigital number, since it uses as much as digits as its factorization.

2103134208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2103134208 is about 45859.9412123478. The cubic root of 2103134208 is about 1281.2159279046.

The spelling of 2103134208 in words is "two billion, one hundred three million, one hundred thirty-four thousand, two hundred eight".