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331031002221 = 3258976237277
BaseRepresentation
bin1001101000100101111…
…11000011110001101101
31011122110010020021021200
410310102333003301231
520410422414032341
6412023515120113
732626154043513
oct4642277036155
91148403207250
10331031002221
11118431409587
12541a5743039
13252a699709a
14120444884b3
158926a8edb6
hex4d12fc3c6d

331031002221 has 12 divisors (see below), whose sum is σ = 478237053372. Its totient is φ = 220649875776.

The previous prime is 331031002193. The next prime is 331031002261. The reversal of 331031002221 is 122200130133.

331031002221 is a `hidden beast` number, since 3 + 310 + 310 + 0 + 22 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219130716996 + 111900285225 = 468114^2 + 334515^2 .

It is not a de Polignac number, because 331031002221 - 25 = 331031002189 is a prime.

It is a super-3 number, since 3×3310310022213 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331031002194 and 331031002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331031002261) 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, 3065566 + ... + 3171711.

It is an arithmetic number, because the mean of its divisors is an integer number (39853087781).

Almost surely, 2331031002221 is an apocalyptic number.

It is an amenable number.

331031002221 is a deficient number, since it is larger than the sum of its proper divisors (147206051151).

331031002221 is a wasteful number, since it uses less digits than its factorization.

331031002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6243180 (or 6243177 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331031002221 its reverse (122200130133), we get a palindrome (453231132354).

The spelling of 331031002221 in words is "three hundred thirty-one billion, thirty-one million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 5897 17691 53073 6237277 18711831 56135493 36781222469 110343667407 331031002221