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312033332221 = 1319266489097
BaseRepresentation
bin1001000101001101010…
…00101100101111111101
31002211102010202122022021
410202212220230233331
520103021013112341
6355202433120141
731354322363512
oct4424650545775
91084363678267
10312033332221
11110372754966
12505833b9051
1323569b64030
1411161359309
1581b3d159d1
hex48a6a2cbfd

312033332221 has 12 divisors (see below), whose sum is σ = 354652848732. Its totient is φ = 272871249984.

The previous prime is 312033332213. The next prime is 312033332227. The reversal of 312033332221 is 122233330213.

It can be written as a sum of positive squares in 2 ways, for example, as 19736316196 + 292297016025 = 140486^2 + 540645^2 .

It is not a de Polignac number, because 312033332221 - 23 = 312033332213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312033332227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33239856 + ... + 33249241.

It is an arithmetic number, because the mean of its divisors is an integer number (29554404061).

Almost surely, 2312033332221 is an apocalyptic number.

It is an amenable number.

312033332221 is a deficient number, since it is larger than the sum of its proper divisors (42619516511).

312033332221 is a wasteful number, since it uses less digits than its factorization.

312033332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66489148 (or 66489129 counting only the distinct ones).

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

Adding to 312033332221 its reverse (122233330213), we get a palindrome (434266662434).

The spelling of 312033332221 in words is "three hundred twelve billion, thirty-three million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 13 19 247 361 4693 66489097 864358261 1263292843 16422806959 24002564017 312033332221