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213223010220 = 2232511313793887
BaseRepresentation
bin1100011010010100010…
…1001110111110101100
3202101100212201012110200
43012211011032332230
511443140042311340
6241541525033500
721255602453133
oct3064505167654
9671325635420
10213223010220
1182477915520
12353a7b55890
131715097378c
14a46a2dc91a
15582e278330
hex31a514efac

213223010220 has 288 divisors, whose sum is σ = 748027478016. Its totient is φ = 48670502400.

The previous prime is 213223010137. The next prime is 213223010233. The reversal of 213223010220 is 22010322312.

213223010220 is a `hidden beast` number, since 21 + 322 + 301 + 0 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213223010193 and 213223010202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2224117 + ... + 2318003.

It is an arithmetic number, because the mean of its divisors is an integer number (2597317632).

Almost surely, 2213223010220 is an apocalyptic number.

213223010220 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 213223010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374013739008).

213223010220 is an abundant number, since it is smaller than the sum of its proper divisors (534804467796).

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

213223010220 is a wasteful number, since it uses less digits than its factorization.

213223010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93981 (or 93976 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213223010220 its reverse (22010322312), we get a palindrome (235233332532).

The spelling of 213223010220 in words is "two hundred thirteen billion, two hundred twenty-three million, ten thousand, two hundred twenty".