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210021323220 = 223251166785129
BaseRepresentation
bin1100001110011000111…
…1110001000111010100
3202002002202011122120200
43003212033301013110
511420110424320340
6240252113500500
721113344535532
oct3034617610724
9662082148520
10210021323220
118108461a705
1234853871730
1316a60564127
14a244dd5152
1556e3145330
hex30e63f11d4

210021323220 has 36 divisors (see below), whose sum is σ = 637064680980. Its totient is φ = 56005686144.

The previous prime is 210021323189. The next prime is 210021323227. The reversal of 210021323220 is 22323120012.

210021323220 is a `hidden beast` number, since 2 + 100 + 21 + 323 + 220 = 666.

210021323220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 117070728336 + 92950594884 = 342156^2 + 304878^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2100213232202 (a number of 23 digits) contains 22 as substring.

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 = 210021323193 and 210021323202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210021323227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 583392385 + ... + 583392744.

Almost surely, 2210021323220 is an apocalyptic number.

210021323220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021323220 is an abundant number, since it is smaller than the sum of its proper divisors (427043357760).

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

210021323220 is a wasteful number, since it uses less digits than its factorization.

210021323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166785144 (or 1166785139 counting only the distinct ones).

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

Adding to 210021323220 its reverse (22323120012), we get a palindrome (232344443232).

The spelling of 210021323220 in words is "two hundred ten billion, twenty-one million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1166785129 2333570258 3500355387 4667140516 5833925645 7000710774 10501066161 11667851290 14001421548 17501776935 21002132322 23335702580 35003553870 42004264644 52505330805 70007107740 105010661610 210021323220