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202212213201 = 3270132051389
BaseRepresentation
bin1011110001010011001…
…0011000000111010001
3201022221111221202111200
42330110302120013101
511303112311310301
6232521153301413
720416002311115
oct2742462300721
9638844852450
10202212213201
1178837582779
1233234564869
13160b773887b
149b03c1b745
1553d77a4c86
hex2f14c981d1

202212213201 has 12 divisors (see below), whose sum is σ = 292500985140. Its totient is φ = 134615829600.

The previous prime is 202212213179. The next prime is 202212213227. The reversal of 202212213201 is 102312212202.

202212213201 is a `hidden beast` number, since 20 + 221 + 221 + 3 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 165261762576 + 36950450625 = 406524^2 + 192225^2 .

It is not a de Polignac number, because 202212213201 - 25 = 202212213169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (202212213271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16019386 + ... + 16032003.

It is an arithmetic number, because the mean of its divisors is an integer number (24375082095).

Almost surely, 2202212213201 is an apocalyptic number.

It is an amenable number.

202212213201 is a deficient number, since it is larger than the sum of its proper divisors (90288771939).

202212213201 is a wasteful number, since it uses less digits than its factorization.

202212213201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32052096 (or 32052093 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202212213201 its reverse (102312212202), we get a palindrome (304524425403).

Subtracting from 202212213201 its reverse (102312212202), we obtain a palindrome (99900000999).

The spelling of 202212213201 in words is "two hundred two billion, two hundred twelve million, two hundred thirteen thousand, two hundred one".

Divisors: 1 3 9 701 2103 6309 32051389 96154167 288462501 22468023689 67404071067 202212213201