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200105300 = 225217117709
BaseRepresentation
bin10111110110101…
…01110101010100
3111221112101212102
423323111311110
5402211332200
631504541232
74646603243
oct1373256524
9457471772
10200105300
11a2a5508a
1257021818
13325c3205
141c80c95a
151287a6d5
hexbed5d54

200105300 has 36 divisors (see below), whose sum is σ = 459775260. Its totient is φ = 75333120.

The previous prime is 200105291. The next prime is 200105303. The reversal of 200105300 is 3501002.

It can be written as a sum of positive squares in 6 ways, for example, as 391876 + 199713424 = 626^2 + 14132^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200105303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 57155 + ... + 60554.

It is an arithmetic number, because the mean of its divisors is an integer number (12771535).

Almost surely, 2200105300 is an apocalyptic number.

200105300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200105300 is an abundant number, since it is smaller than the sum of its proper divisors (259669960).

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

200105300 is a wasteful number, since it uses less digits than its factorization.

200105300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117740 (or 117733 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 200105300 is about 14145.8580510339. The cubic root of 200105300 is about 584.9061626584.

Adding to 200105300 its reverse (3501002), we get a palindrome (203606302).

The spelling of 200105300 in words is "two hundred million, one hundred five thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 117709 235418 470836 588545 1177090 2001053 2354180 2942725 4002106 5885450 8004212 10005265 11770900 20010530 40021060 50026325 100052650 200105300