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213000300 = 22335278889
BaseRepresentation
bin11001011001000…
…10000001101100
3112211210112111000
430230202001230
5414012002200
633045200300
75164321062
oct1454420154
9484715430
10213000300
11aa262307
125b400090
13351896a6
1420408032
1513a76300
hexcb2206c

213000300 has 72 divisors (see below), whose sum is σ = 684765200. Its totient is φ = 56799360.

The previous prime is 213000239. The next prime is 213000301. The reversal of 213000300 is 3000312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (213000301) 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 23 ways as a sum of consecutive naturals, for example, 36745 + ... + 42144.

Almost surely, 2213000300 is an apocalyptic number.

213000300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213000300 is an abundant number, since it is smaller than the sum of its proper divisors (471764900).

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

213000300 is a wasteful number, since it uses less digits than its factorization.

213000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78912 (or 78899 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 213000300 is about 14594.5297971535. The cubic root of 213000300 is about 597.2095423624.

Adding to 213000300 its reverse (3000312), we get a palindrome (216000612).

The spelling of 213000300 in words is "two hundred thirteen million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 78889 157778 236667 315556 394445 473334 710001 788890 946668 1183335 1420002 1577780 1972225 2130003 2366670 2840004 3550005 3944450 4260006 4733340 5916675 7100010 7888900 8520012 10650015 11833350 14200020 17750025 21300030 23666700 35500050 42600060 53250075 71000100 106500150 213000300