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213332120 = 23529183907
BaseRepresentation
bin11001011011100…
…11000010011000
3112212102101122122
430231303002120
5414103111440
633100240412
75200202351
oct1455630230
9485371578
10213332120
11aa469641
125b540108
1335274731
1420492d28
1513ade7b5
hexcb73098

213332120 has 32 divisors (see below), whose sum is σ = 496551600. Its totient is φ = 82389888.

The previous prime is 213332101. The next prime is 213332137. The reversal of 213332120 is 21233312.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 90794 + ... + 93113.

Almost surely, 2213332120 is an apocalyptic number.

213332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213332120 is an abundant number, since it is smaller than the sum of its proper divisors (283219480).

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

213332120 is a wasteful number, since it uses less digits than its factorization.

213332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183947 (or 183943 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 213332120 is about 14605.8933311181. The cubic root of 213332120 is about 597.5195000726.

Adding to 213332120 its reverse (21233312), we get a palindrome (234565432).

The spelling of 213332120 in words is "two hundred thirteen million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 183907 367814 735628 919535 1471256 1839070 3678140 5333303 7356280 10666606 21333212 26666515 42666424 53333030 106666060 213332120