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20303100 = 223252171327
BaseRepresentation
bin100110101110…
…0110011111100
31102012111121200
41031130303330
520144144400
62003055500
7334400466
oct115346374
942174550
1020303100
1110508024
126971590
13428b38c
1429a7136
151bb0b00
hex135ccfc

20303100 has 108 divisors (see below), whose sum is σ = 67433184. Its totient is φ = 5091840.

The previous prime is 20303071. The next prime is 20303111. The reversal of 20303100 is 130302.

It is a happy number.

It is a super-2 number, since 2×203031002 = 824431739220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14637 + ... + 15963.

Almost surely, 220303100 is an apocalyptic number.

20303100 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 20303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33716592).

20303100 is an abundant number, since it is smaller than the sum of its proper divisors (47130084).

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

20303100 is a wasteful number, since it uses less digits than its factorization.

20303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 20303100 is about 4505.8961372850. The cubic root of 20303100 is about 272.8061256841.

Adding to 20303100 its reverse (130302), we get a palindrome (20433402).

The spelling of 20303100 in words is "twenty million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1327 1530 1700 2550 2654 3060 3825 3981 5100 5308 6635 7650 7962 11943 13270 15300 15924 19905 22559 23886 26540 33175 39810 45118 47772 59715 66350 67677 79620 90236 99525 112795 119430 132700 135354 199050 203031 225590 238860 270708 298575 338385 398100 406062 451180 563975 597150 676770 812124 1015155 1127950 1194300 1353540 1691925 2030310 2255900 3383850 4060620 5075775 6767700 10151550 20303100