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331202102321 = 29611301143909
BaseRepresentation
bin1001101000111010010…
…11110000010000110001
31011122220001012001111102
410310131023300100301
520411300214233241
6412052510254145
732633332263566
oct4643513602061
91148801161442
10331202102321
11118509a52622
1254232ab7355
132530327304c
141205d0a686d
158936adb39b
hex4d1d2f0431

331202102321 has 16 divisors (see below), whose sum is σ = 348509725200. Its totient is φ = 314295072000.

The previous prime is 331202102293. The next prime is 331202102323. The reversal of 331202102321 is 123201202133.

It can be written as a sum of positive squares in 8 ways, for example, as 156745519921 + 174456582400 = 395911^2 + 417680^2 .

It is a cyclic number.

It is not a de Polignac number, because 331202102321 - 210 = 331202101297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 331202102293 and 331202102302.

It is not an unprimeable number, because it can be changed into a prime (331202102323) 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, 2229515 + ... + 2373423.

It is an arithmetic number, because the mean of its divisors is an integer number (21781857825).

Almost surely, 2331202102321 is an apocalyptic number.

It is an amenable number.

331202102321 is a deficient number, since it is larger than the sum of its proper divisors (17307622879).

331202102321 is a wasteful number, since it uses less digits than its factorization.

331202102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145300.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 331202102321 its reverse (123201202133), we get a palindrome (454403304454).

The spelling of 331202102321 in words is "three hundred thirty-one billion, two hundred two million, one hundred two thousand, three hundred twenty-one".

Divisors: 1 29 61 1301 1769 37729 79361 143909 2301469 4173361 8778449 187225609 254575021 5429542661 11420762149 331202102321