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210031300 = 22522100313
BaseRepresentation
bin11001000010011…
…01001011000100
3112122012200210001
430201031023010
5412232000200
632501411044
75130144103
oct1441151304
9478180701
10210031300
11a8614696
125a409a84
133468a19b
141dc7403a
151368b76a
hexc84d2c4

210031300 has 18 divisors (see below), whose sum is σ = 455768138. Its totient is φ = 84012480.

The previous prime is 210031291. The next prime is 210031309. The reversal of 210031300 is 3130012.

210031300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210031291) and next prime (210031309).

It can be written as a sum of positive squares in 3 ways, for example, as 50665924 + 159365376 = 7118^2 + 12624^2 .

It is a super-2 number, since 2×2100313002 = 88226293959380000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (210031309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1050057 + ... + 1050256.

Almost surely, 2210031300 is an apocalyptic number.

210031300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210031300 is an abundant number, since it is smaller than the sum of its proper divisors (245736838).

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

210031300 is a wasteful number, since it uses less digits than its factorization.

210031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100327 (or 2100320 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 210031300 is about 14492.4566585517. The cubic root of 210031300 is about 594.4217247231.

Adding to 210031300 its reverse (3130012), we get a palindrome (213161312).

The spelling of 210031300 in words is "two hundred ten million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2100313 4200626 8401252 10501565 21003130 42006260 52507825 105015650 210031300