Search a number
-
+
2103431000 = 235311434447
BaseRepresentation
bin111110101011111…
…1100111101011000
312102120222100212212
41331113330331120
513301434243000
6544415454252
7103060603616
oct17527747530
95376870785
102103431000
1198a371930
124a8527388
13276a1c738
1415d5006b6
15c49e3c35
hex7d5fcf58

2103431000 has 128 divisors (see below), whose sum is σ = 5495592960. Its totient is φ = 746928000.

The previous prime is 2103430991. The next prime is 2103431017. The reversal of 2103431000 is 1343012.

It is a super-2 number, since 2×21034310002 = 8848843943522000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470777 + ... + 475223.

It is an arithmetic number, because the mean of its divisors is an integer number (42934320).

Almost surely, 22103431000 is an apocalyptic number.

2103431000 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 2103431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747796480).

2103431000 is an abundant number, since it is smaller than the sum of its proper divisors (3392161960).

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

2103431000 is a wasteful number, since it uses less digits than its factorization.

2103431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2103431000 is about 45863.1769505777. The cubic root of 2103431000 is about 1281.2761930001.

Adding to 2103431000 its reverse (1343012), we get a palindrome (2104774012).

The spelling of 2103431000 in words is "two billion, one hundred three million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 125 172 200 215 220 250 275 344 430 440 473 500 550 860 946 1000 1075 1100 1375 1720 1892 2150 2200 2365 2750 3784 4300 4447 4730 5375 5500 8600 8894 9460 10750 11000 11825 17788 18920 21500 22235 23650 35576 43000 44470 47300 48917 59125 88940 94600 97834 111175 118250 177880 191221 195668 222350 236500 244585 382442 391336 444700 473000 489170 555875 764884 889400 956105 978340 1111750 1222925 1529768 1912210 1956680 2103431 2223500 2445850 3824420 4206862 4447000 4780525 4891700 6114625 7648840 8413724 9561050 9783400 10517155 12229250 16827448 19122100 21034310 23902625 24458500 38244200 42068620 47805250 48917000 52585775 84137240 95610500 105171550 191221000 210343100 262928875 420686200 525857750 1051715500 2103431000