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213031232303220 = 223452937397308701
BaseRepresentation
bin110000011100000000110010…
…111011010111000001110100
31000221021120211212012222110000
4300130000302323113001310
5210410300430432200340
62033025110322431300
762604666346303632
oct6034006273270164
91027246755188400
10213031232303220
1161973046a16791
121ba86a68802530
1391b39b3703c96
143a86aa39d2352
15199667061bd30
hexc1c032ed7074

213031232303220 has 480 divisors, whose sum is σ = 711806627458080. Its totient is φ = 53232405811200.

The previous prime is 213031232303209. The next prime is 213031232303269. The reversal of 213031232303220 is 22303232130312.

213031232303220 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 3 + 12 + 323 + 0 + 322 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 9153613944036 + 203877618359184 = 3025494^2 + 14278572^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 689934870 + ... + 690243570.

It is an arithmetic number, because the mean of its divisors is an integer number (1482930473871).

Almost surely, 2213031232303220 is an apocalyptic number.

213031232303220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213031232303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355903313729040).

213031232303220 is an abundant number, since it is smaller than the sum of its proper divisors (498775395154860).

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

213031232303220 is a wasteful number, since it uses less digits than its factorization.

213031232303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309185 (or 309174 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 213031232303220 its reverse (22303232130312), we get a palindrome (235334464433532).

The spelling of 213031232303220 in words is "two hundred thirteen trillion, thirty-one billion, two hundred thirty-two million, three hundred three thousand, two hundred twenty".