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1284385433101 = 53148133014957
BaseRepresentation
bin10010101100001011010…
…101100110011000001101
311112210020000210021020121
4102230023111212120031
5132020410132324401
62422012153144541
7161536161022621
oct22541325463015
94483200707217
101284385433101
11455783102a51
12188b0a0bb151
139416a152344
14462438a9181
15236231b6ca1
hex12b0b56660d

1284385433101 has 16 divisors (see below), whose sum is σ = 1310163676848. Its totient is φ = 1258665408000.

The previous prime is 1284385433077. The next prime is 1284385433147. The reversal of 1284385433101 is 1013345834821.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16667068201 + 1267718364900 = 129101^2 + 1125930^2 .

It is a cyclic number.

It is not a de Polignac number, because 1284385433101 - 25 = 1284385433069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284385433501) 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 15 ways as a sum of consecutive naturals, for example, 259102915 + ... + 259107871.

It is an arithmetic number, because the mean of its divisors is an integer number (81885229803).

Almost surely, 21284385433101 is an apocalyptic number.

It is an amenable number.

1284385433101 is a deficient number, since it is larger than the sum of its proper divisors (25778243747).

1284385433101 is a wasteful number, since it uses less digits than its factorization.

1284385433101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9792.

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 1284385433101 in words is "one trillion, two hundred eighty-four billion, three hundred eighty-five million, four hundred thirty-three thousand, one hundred one".

Divisors: 1 53 1481 3301 4957 78493 174953 262721 4888781 7341317 16363057 259105393 389089801 867242021 24233687417 1284385433101