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2103103360 = 27547139503
BaseRepresentation
bin111110101011010…
…1100111110000000
312102120100201110001
41331112230332000
513301343301420
6544404445344
7103055040451
oct17526547600
95376321401
102103103360
1198a168756
124a83a9854
13276936577
1415d457128
15c497bb0a
hex7d5acf80

2103103360 has 128 divisors (see below), whose sum is σ = 5181926400. Its totient is φ = 815794176.

The previous prime is 2103103357. The next prime is 2103103361. The reversal of 2103103360 is 633013012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103103361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4180869 + ... + 4181371.

It is an arithmetic number, because the mean of its divisors is an integer number (40483800).

Almost surely, 22103103360 is an apocalyptic number.

2103103360 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 2103103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590963200).

2103103360 is an abundant number, since it is smaller than the sum of its proper divisors (3078823040).

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

2103103360 is a wasteful number, since it uses less digits than its factorization.

2103103360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 2103103360 is about 45859.6048827288. The cubic root of 2103103360 is about 1281.2096637391.

Adding to 2103103360 its reverse (633013012), we get a palindrome (2736116372).

The spelling of 2103103360 in words is "two billion, one hundred three million, one hundred three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 139 160 188 235 278 320 376 470 503 556 640 695 752 940 1006 1112 1390 1504 1880 2012 2224 2515 2780 3008 3760 4024 4448 5030 5560 6016 6533 7520 8048 8896 10060 11120 13066 15040 16096 17792 20120 22240 23641 26132 30080 32192 32665 40240 44480 47282 52264 64384 65330 69917 80480 88960 94564 104528 118205 130660 139834 160960 189128 209056 236410 261320 279668 321920 349585 378256 418112 472820 522640 559336 699170 756512 836224 945640 1045280 1118672 1398340 1513024 1891280 2090560 2237344 2796680 3026048 3286099 3782560 4181120 4474688 5593360 6572198 7565120 8949376 11186720 13144396 15130240 16430495 22373440 26288792 32860990 44746880 52577584 65721980 105155168 131443960 210310336 262887920 420620672 525775840 1051551680 2103103360