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213323020 = 22513181421
BaseRepresentation
bin11001011011100…
…00110100001100
3112212101221011121
430231300310030
5414102314040
633100130324
75200134001
oct1455606414
9485357147
10213323020
11aa462819
125b5369a4
1335270551
142048d8a8
1513adbc4a
hexcb70d0c

213323020 has 24 divisors (see below), whose sum is σ = 451403568. Its totient is φ = 84676800.

The previous prime is 213322981. The next prime is 213323029. The reversal of 213323020 is 20323312.

It is a junction number, because it is equal to n+sod(n) for n = 213322985 and 213323003.

It is not an unprimeable number, because it can be changed into a prime (213323029) 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 7 ways as a sum of consecutive naturals, for example, 38091 + ... + 43330.

It is an arithmetic number, because the mean of its divisors is an integer number (18808482).

Almost surely, 2213323020 is an apocalyptic number.

213323020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213323020 is an abundant number, since it is smaller than the sum of its proper divisors (238080548).

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

213323020 is a wasteful number, since it uses less digits than its factorization.

213323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81561 (or 81559 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 213323020 is about 14605.5818097055. The cubic root of 213323020 is about 597.5110039231.

Adding to 213323020 its reverse (20323312), we get a palindrome (233646332).

The spelling of 213323020 in words is "two hundred thirteen million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 131 262 524 655 1310 2620 81421 162842 325684 407105 814210 1628420 10666151 21332302 42664604 53330755 106661510 213323020