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213211300 = 22522132113
BaseRepresentation
bin11001011010101…
…01100010100100
3112212012020220211
430231111202210
5414040230200
633053505204
75166160201
oct1455254244
9485166824
10213211300
11aa396895
125b4a2204
1335231743
1420460ca8
1513ab8aba
hexcb558a4

213211300 has 18 divisors (see below), whose sum is σ = 462668738. Its totient is φ = 85284480.

The previous prime is 213211267. The next prime is 213211373. The reversal of 213211300 is 3112312.

It can be written as a sum of positive squares in 3 ways, for example, as 4235364 + 208975936 = 2058^2 + 14456^2 .

It is an unprimeable number.

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, 1065957 + ... + 1066156.

Almost surely, 2213211300 is an apocalyptic number.

213211300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213211300 is an abundant number, since it is smaller than the sum of its proper divisors (249457438).

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

213211300 is a wasteful number, since it uses less digits than its factorization.

213211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132127 (or 2132120 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 213211300 is about 14601.7567436251. The cubic root of 213211300 is about 597.4066776514.

Adding to 213211300 its reverse (3112312), we get a palindrome (216323612).

The spelling of 213211300 in words is "two hundred thirteen million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2132113 4264226 8528452 10660565 21321130 42642260 53302825 106605650 213211300