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2001030300 = 2232523760091
BaseRepresentation
bin111011101000101…
…0100110010011100
312011110021212112100
41313101110302130
513044230432200
6530321005100
7100405322403
oct16721246234
95143255470
102001030300
11937590755
1247a183790
1325b7482c9
1414da8663a
15baa17d00
hex77454c9c

2001030300 has 108 divisors (see below), whose sum is σ = 6441742216. Its totient is φ = 519177600.

The previous prime is 2001030299. The next prime is 2001030307. The reversal of 2001030300 is 30301002.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001030307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3255 + ... + 63345.

Almost surely, 22001030300 is an apocalyptic number.

2001030300 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 2001030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220871108).

2001030300 is an abundant number, since it is smaller than the sum of its proper divisors (4440711916).

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

2001030300 is a wasteful number, since it uses less digits than its factorization.

2001030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60148 (or 60138 counting only the distinct ones).

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

The square root of 2001030300 is about 44732.8771710472. The cubic root of 2001030300 is about 1260.1373621976.

Adding to 2001030300 its reverse (30301002), we get a palindrome (2031331302).

The spelling of 2001030300 in words is "two billion, one million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 60091 120182 180273 240364 300455 360546 540819 600910 721092 901365 1081638 1201820 1502275 1802730 2163276 2223367 2704095 3004550 3605460 4446734 4506825 5408190 6009100 6670101 8893468 9013650 10816380 11116835 13340202 13520475 18027300 20010303 22233670 26680404 27040950 33350505 40020606 44467340 54081900 55584175 66701010 80041212 100051515 111168350 133402020 166752525 200103030 222336700 333505050 400206060 500257575 667010100 1000515150 2001030300