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201331300 = 22522013313
BaseRepresentation
bin11000000000000…
…01001001100100
3112000211200121211
430000001021210
5403020100200
631551121204
74663200502
oct1400011144
9460750554
10201331300
11a3712205
1257513204
1332932261
141ca4b672
1512a1daba
hexc001264

201331300 has 18 divisors (see below), whose sum is σ = 436889138. Its totient is φ = 80532480.

The previous prime is 201331271. The next prime is 201331321. The reversal of 201331300 is 3133102.

It can be written as a sum of positive squares in 3 ways, for example, as 599076 + 200732224 = 774^2 + 14168^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1006557 + ... + 1006756.

Almost surely, 2201331300 is an apocalyptic number.

201331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201331300 is an abundant number, since it is smaller than the sum of its proper divisors (235557838).

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

201331300 is a wasteful number, since it uses less digits than its factorization.

201331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013327 (or 2013320 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 201331300 is about 14189.1261182639. The cubic root of 201331300 is about 586.0982607303.

Adding to 201331300 its reverse (3133102), we get a palindrome (204464402).

The spelling of 201331300 in words is "two hundred one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2013313 4026626 8053252 10066565 20133130 40266260 50332825 100665650 201331300