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12310133320233 = 327227914134513
BaseRepresentation
bin1011001100100010110100…
…0111111010101000101001
31121120211121100122010122100
42303020231013322220221
53103142123112221413
642103110331244013
72410243402516500
oct263105507725051
947524540563570
1012310133320233
113a16775375621
1214699528a9609
136b3ac0a17768
14307b56869837
15165335024a73
hexb322d1faa29

12310133320233 has 18 divisors (see below), whose sum is σ = 20684373674874. Its totient is φ = 7034361897024.

The previous prime is 12310133320223. The next prime is 12310133320379. The reversal of 12310133320233 is 33202333101321.

12310133320233 is a `hidden beast` number, since 1 + 2 + 3 + 101 + 3 + 3 + 320 + 233 = 666.

12310133320233 is digitally balanced in base 2, 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 only one way, i.e., 7610464311849 + 4699669008384 = 2758707^2 + 2167872^2 .

It is not a de Polignac number, because 12310133320233 - 229 = 12309596449321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12310133320197 and 12310133320206.

It is not an unprimeable number, because it can be changed into a prime (12310133320223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13957066816 + ... + 13957067697.

Almost surely, 212310133320233 is an apocalyptic number.

It is an amenable number.

12310133320233 is a deficient number, since it is larger than the sum of its proper divisors (8374240354641).

12310133320233 is a wasteful number, since it uses less digits than its factorization.

12310133320233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27914134533 (or 27914134523 counting only the distinct ones).

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

Adding to 12310133320233 its reverse (33202333101321), we get a palindrome (45512466421554).

The spelling of 12310133320233 in words is "twelve trillion, three hundred ten billion, one hundred thirty-three million, three hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 49 63 147 441 27914134513 83742403539 195398941591 251227210617 586196824773 1367792591137 1758590474319 4103377773411 12310133320233