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220210000213 = 724494081637
BaseRepresentation
bin1100110100010110001…
…0011111000101010101
3210001101210222001212211
43031011202133011111
512101442230001323
6245055120313421
721624003055300
oct3150542370525
9701353861784
10220210000213
1185432893515
1236817a72871
13179c5372a98
14a93022db37
155adc87270d
hex334589f155

220210000213 has 6 divisors (see below), whose sum is σ = 256162653366. Its totient is φ = 188751428712.

The previous prime is 220210000211. The next prime is 220210000217. The reversal of 220210000213 is 312000012022.

220210000213 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 only one way, i.e., 209830873329 + 10379126884 = 458073^2 + 101878^2 .

It is not a de Polignac number, because 220210000213 - 21 = 220210000211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220210000193 and 220210000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220210000211) 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 5 ways as a sum of consecutive naturals, for example, 2247040770 + ... + 2247040867.

It is an arithmetic number, because the mean of its divisors is an integer number (42693775561).

Almost surely, 2220210000213 is an apocalyptic number.

It is an amenable number.

220210000213 is a deficient number, since it is larger than the sum of its proper divisors (35952653153).

220210000213 is an equidigital number, since it uses as much as digits as its factorization.

220210000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494081651 (or 4494081644 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 220210000213 its reverse (312000012022), we get a palindrome (532210012235).

The spelling of 220210000213 in words is "two hundred twenty billion, two hundred ten million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 7 49 4494081637 31458571459 220210000213