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10412144223133 = 17702378720177
BaseRepresentation
bin1001011110000100010000…
…1010000110001110011101
31100212101120020022002010011
42113201010022012032131
52331043032410120013
634051134550043221
72123152432421542
oct227410412061635
940771506262104
1010412144223133
113354846a73a64
121201b3a049511
135a6b267869c3
1427dd44132bc9
15130c9ca99c3d
hex9784428639d

10412144223133 has 8 divisors (see below), whose sum is σ = 11024781522552. Its totient is φ = 9799524504576.

The previous prime is 10412144223097. The next prime is 10412144223161. The reversal of 10412144223133 is 33132244121401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5831080346169 + 4581063876964 = 2414763^2 + 2140342^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10412144223133 - 229 = 10411607352221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10412144223095 and 10412144223104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412144223233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3166060 + ... + 5554117.

It is an arithmetic number, because the mean of its divisors is an integer number (1378097690319).

Almost surely, 210412144223133 is an apocalyptic number.

It is an amenable number.

10412144223133 is a deficient number, since it is larger than the sum of its proper divisors (612637299419).

10412144223133 is an equidigital number, since it uses as much as digits as its factorization.

10412144223133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790431.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 10412144223133 its reverse (33132244121401), we get a palindrome (43544388344534).

The spelling of 10412144223133 in words is "ten trillion, four hundred twelve billion, one hundred forty-four million, two hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 17 70237 1194029 8720177 148243009 612479071949 10412144223133