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201020300 = 2252131011531
BaseRepresentation
bin10111111101101…
…01001110001100
3112000020220000022
423332311032030
5402430122200
631540321312
74660434005
oct1376651614
9460226008
10201020300
11a351a588
12573a3238
1332853830
141c9aa1ac
15129ab885
hexbfb538c

201020300 has 72 divisors (see below), whose sum is σ = 474730032. Its totient is φ = 73440000.

The previous prime is 201020263. The next prime is 201020311. The reversal of 201020300 is 3020102.

It is a super-2 number, since 2×2010203002 = 80818322024180000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 130535 + ... + 132065.

Almost surely, 2201020300 is an apocalyptic number.

201020300 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 201020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237365016).

201020300 is an abundant number, since it is smaller than the sum of its proper divisors (273709732).

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

201020300 is a wasteful number, since it uses less digits than its factorization.

201020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 201020300 is about 14178.1627864826. The cubic root of 201020300 is about 585.7963197753.

Adding to 201020300 its reverse (3020102), we get a palindrome (204040402).

The spelling of 201020300 in words is "two hundred one million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 130 202 260 325 404 505 650 1010 1300 1313 1531 2020 2525 2626 3062 5050 5252 6124 6565 7655 10100 13130 15310 19903 26260 30620 32825 38275 39806 65650 76550 79612 99515 131300 153100 154631 199030 309262 398060 497575 618524 773155 995150 1546310 1990300 2010203 3092620 3865775 4020406 7731550 8040812 10051015 15463100 20102030 40204060 50255075 100510150 201020300