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211201020221 = 24125710333301
BaseRepresentation
bin1100010010110010001…
…1111101000100111101
3202012010221222110122012
43010230203331010331
511430014430121341
6241005134501005
721154521023432
oct3045443750475
9665127873565
10211201020221
118162a519504
1234b22964765
1316bbaa9a2a9
14a31795bb89
1557619c00eb
hex312c8fd13d

211201020221 has 16 divisors (see below), whose sum is σ = 213173236848. Its totient is φ = 209240064000.

The previous prime is 211201020181. The next prime is 211201020257. The reversal of 211201020221 is 122020102112.

It can be written as a sum of positive squares in 8 ways, for example, as 68306436025 + 142894584196 = 261355^2 + 378014^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211201020221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211201020196 and 211201020205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201020281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63979271 + ... + 63982571.

It is an arithmetic number, because the mean of its divisors is an integer number (13323327303).

Almost surely, 2211201020221 is an apocalyptic number.

It is an amenable number.

211201020221 is a deficient number, since it is larger than the sum of its proper divisors (1972216627).

211201020221 is a wasteful number, since it uses less digits than its factorization.

211201020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211201020221 its reverse (122020102112), we get a palindrome (333221122333).

The spelling of 211201020221 in words is "two hundred eleven billion, two hundred one million, twenty thousand, two hundred twenty-one".

Divisors: 1 241 257 1033 3301 61937 248953 265481 795541 848357 3409933 63980921 204454037 821793853 876352781 211201020221