Search a number
-
+
2030303100 = 2235274012411
BaseRepresentation
bin111100100000011…
…1111011101111100
312020111101002021010
41321000333131330
513124224144400
6533244235220
7101212202010
oct17100773574
95214332233
102030303100
11952064851
12487b3bb10
132648272a7
14153906540
15bd39b450
hex7903f77c

2030303100 has 144 divisors (see below), whose sum is σ = 6733069056. Its totient is φ = 462720000.

The previous prime is 2030303063. The next prime is 2030303113. The reversal of 2030303100 is 13030302.

It is a happy number.

It is a super-2 number, since 2×20303031002 = 8244261355739220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840895 + ... + 843305.

It is an arithmetic number, because the mean of its divisors is an integer number (46757424).

Almost surely, 22030303100 is an apocalyptic number.

2030303100 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 2030303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366534528).

2030303100 is an abundant number, since it is smaller than the sum of its proper divisors (4702765956).

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

2030303100 is a wasteful number, since it uses less digits than its factorization.

2030303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2030303100 is about 45058.8848064397. The cubic root of 2030303100 is about 1266.2524322620.

Adding to 2030303100 its reverse (13030302), we get a palindrome (2043333402).

The spelling of 2030303100 in words is "two billion, thirty million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 401 420 525 700 802 1050 1203 1604 2005 2100 2406 2411 2807 4010 4812 4822 5614 6015 7233 8020 8421 9644 10025 11228 12030 12055 14035 14466 16842 16877 20050 24060 24110 28070 28932 30075 33684 33754 36165 40100 42105 48220 50631 56140 60150 60275 67508 70175 72330 84210 84385 101262 120300 120550 140350 144660 168420 168770 180825 202524 210525 241100 253155 280700 337540 361650 421050 421925 506310 723300 842100 843850 966811 1012620 1265775 1687700 1933622 2531550 2900433 3867244 4834055 5063100 5800866 6767677 9668110 11601732 13535354 14502165 19336220 20303031 24170275 27070708 29004330 33838385 40606062 48340550 58008660 67676770 72510825 81212124 96681100 101515155 135353540 145021650 169191925 203030310 290043300 338383850 406060620 507575775 676767700 1015151550 2030303100