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211201300 = 22522112013
BaseRepresentation
bin11001001011010…
…10110100010100
3112201102010201101
430211222310110
5413031420200
632542435444
75143116142
oct1445526424
9481363641
10211201300
11a9243732
125a892b84
13349a98ab
142009a592
151381d26a
hexc96ad14

211201300 has 18 divisors (see below), whose sum is σ = 458307038. Its totient is φ = 84480480.

The previous prime is 211201271. The next prime is 211201303. The reversal of 211201300 is 3102112.

It can be written as a sum of positive squares in 3 ways, for example, as 27164944 + 184036356 = 5212^2 + 13566^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1055907 + ... + 1056106.

Almost surely, 2211201300 is an apocalyptic number.

211201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201300 is an abundant number, since it is smaller than the sum of its proper divisors (247105738).

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

211201300 is a wasteful number, since it uses less digits than its factorization.

211201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112027 (or 2112020 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 211201300 is about 14532.7664262521. The cubic root of 211201300 is about 595.5234430523.

Adding to 211201300 its reverse (3102112), we get a palindrome (214303412).

The spelling of 211201300 in words is "two hundred eleven million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2112013 4224026 8448052 10560065 21120130 42240260 52800325 105600650 211201300