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203323132242 = 23253213126973
BaseRepresentation
bin1011110101011100000…
…0001100100101010010
3201102210221100021221100
42331113000030211102
511312401210212432
6233223320205230
720455352052126
oct2752700144522
9642727307840
10203323132242
117925767568a
12334a4609816
1316233940509
149bab59d586
15545009607c
hex2f5700c952

203323132242 has 24 divisors (see below), whose sum is σ = 448845407244. Its totient is φ = 66495615264.

The previous prime is 203323132217. The next prime is 203323132273. The reversal of 203323132242 is 242231323302.

203323132242 is a `hidden beast` number, since 2 + 0 + 332 + 3 + 1 + 322 + 4 + 2 = 666.

203323132242 is digitally balanced in base 3, 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 181406994561 + 21916137681 = 425919^2 + 148041^2 .

It is a super-3 number, since 3×2033231322423 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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, 106562533 + ... + 106564440.

Almost surely, 2203323132242 is an apocalyptic number.

203323132242 is an abundant number, since it is smaller than the sum of its proper divisors (245522275002).

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

203323132242 is a wasteful number, since it uses less digits than its factorization.

203323132242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213127034 (or 213127031 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 203323132242 its reverse (242231323302), we get a palindrome (445554455544).

The spelling of 203323132242 in words is "two hundred three billion, three hundred twenty-three million, one hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 213126973 426253946 639380919 1278761838 1918142757 3836285514 11295729569 22591459138 33887188707 67774377414 101661566121 203323132242