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1230331322331 = 331259306711801
BaseRepresentation
bin10001111001110101011…
…101100001111111011011
311100121200220102221011000
4101321311131201333123
5130124204304303311
62341112330040043
7154613520455136
oct21716535417733
94317626387130
101230331322331
11434864a58531
1217a543579023
138c0344c6707
144379697b21d
152200c95e056
hex11e75761fdb

1230331322331 has 32 divisors (see below), whose sum is σ = 1824910214400. Its totient is φ = 819232747200.

The previous prime is 1230331322329. The next prime is 1230331322333. The reversal of 1230331322331 is 1332231330321.

1230331322331 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 3 + 1 + 322 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (1230331322329) and next prime (1230331322333).

It is not a de Polignac number, because 1230331322331 - 21 = 1230331322329 is a prime.

It is a super-3 number, since 3×12303313223313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1230331322295 and 1230331322304.

It is not an unprimeable number, because it can be changed into a prime (1230331322333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104250631 + ... + 104262431.

It is an arithmetic number, because the mean of its divisors is an integer number (57028444200).

Almost surely, 21230331322331 is an apocalyptic number.

1230331322331 is a deficient number, since it is larger than the sum of its proper divisors (594578892069).

1230331322331 is a wasteful number, since it uses less digits than its factorization.

1230331322331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16136 (or 16130 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1230331322331 its reverse (1332231330321), we get a palindrome (2562562652652).

The spelling of 1230331322331 in words is "one trillion, two hundred thirty billion, three hundred thirty-one million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 1259 3067 3777 9201 11331 11801 27603 33993 35403 82809 106209 318627 3861353 11584059 14857459 34752177 36193667 44572377 104256531 108581001 133717131 325743003 401151393 977229009 45567826753 136703480259 410110440777 1230331322331