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212303232133 = 4153385325357
BaseRepresentation
bin1100010110111001000…
…0100011110010000101
3202021222202222122010121
43011232100203302011
511434244111412013
6241310351021541
721224033461306
oct3055620436205
9667882878117
10212303232133
1182045704643
123518bb0a8b1
13170352439a5
14a3c00b47ad
1557c864158d
hex316e423c85

212303232133 has 16 divisors (see below), whose sum is σ = 221651032176. Its totient is φ = 203156328960.

The previous prime is 212303232109. The next prime is 212303232151. The reversal of 212303232133 is 331232303212.

It can be written as a sum of positive squares in 8 ways, for example, as 1569902884 + 210733329249 = 39622^2 + 459057^2 .

It is a cyclic number.

It is not a de Polignac number, because 212303232133 - 225 = 212269677701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212303232098 and 212303232107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212303232833) 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 15 ways as a sum of consecutive naturals, for example, 8359891 + ... + 8385247.

It is an arithmetic number, because the mean of its divisors is an integer number (13853189511).

Almost surely, 2212303232133 is an apocalyptic number.

It is an amenable number.

212303232133 is a deficient number, since it is larger than the sum of its proper divisors (9347800043).

212303232133 is a wasteful number, since it uses less digits than its factorization.

212303232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29304.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 212303232133 its reverse (331232303212), we get a palindrome (543535535345).

The spelling of 212303232133 in words is "two hundred twelve billion, three hundred three million, two hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 41 53 2173 3853 25357 157973 204209 1039637 1343921 8372569 55100761 97700521 4005721361 5178127613 212303232133